Combine 6/5k+9/5-2k+2/5+2/5k-6

$\frac{6}{5} k + \frac{9}{5} - 2 k + \frac{2}{5} + \frac{2}{5} k - 6$

Combine fractions with similar denominators.

$\frac{6}{5} k - 2 k + \frac{2}{5} k - 6 + \frac{9 + 2}{5}$

Add $9$ and $2$ .

$\frac{6}{5} k - 2 k + \frac{2}{5} k - 6 + \frac{11}{5}$

Find the common denominator.

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Write $\frac{6}{5} k$ as a fraction with denominator $1$ .

$\frac{\frac{6}{5} k}{1} - 2 k + \frac{2}{5} k - 6 + \frac{11}{5}$

Multiply $\frac{\frac{6}{5} k}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{6}{5} k}{1} \cdot \frac{5}{5} - 2 k + \frac{2}{5} k - 6 + \frac{11}{5}$

Multiply $\frac{\frac{6}{5} k}{1}$ and $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} - 2 k + \frac{2}{5} k - 6 + \frac{11}{5}$

Write $- 2 k$ as a fraction with denominator $1$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k}{1} + \frac{2}{5} k - 6 + \frac{11}{5}$

Multiply $\frac{- 2 k}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k}{1} \cdot \frac{5}{5} + \frac{2}{5} k - 6 + \frac{11}{5}$

Multiply $\frac{- 2 k}{1}$ and $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{2}{5} k - 6 + \frac{11}{5}$

Write $\frac{2}{5} k$ as a fraction with denominator $1$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k}{1} - 6 + \frac{11}{5}$

Multiply $\frac{\frac{2}{5} k}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k}{1} \cdot \frac{5}{5} - 6 + \frac{11}{5}$

Multiply $\frac{\frac{2}{5} k}{1}$ and $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k \cdot 5}{5} - 6 + \frac{11}{5}$

Write $- 6$ as a fraction with denominator $1$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k \cdot 5}{5} + \frac{- 6}{1} + \frac{11}{5}$

Multiply $\frac{- 6}{1}$ by $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k \cdot 5}{5} + \frac{- 6}{1} \cdot \frac{5}{5} + \frac{11}{5}$

Multiply $\frac{- 6}{1}$ and $\frac{5}{5}$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k \cdot 5}{5} + \frac{- 6 \cdot 5}{5} + \frac{11}{5}$

Multiply $- 6$ by $5$ .

$\frac{\frac{6}{5} k \cdot 5}{5} + \frac{- 2 k \cdot 5}{5} + \frac{\frac{2}{5} k \cdot 5}{5} + \frac{- 30}{5} + \frac{11}{5}$

Combine the numerators over the common denominator.

$\frac{\frac{6}{5} k \cdot 5 - 2 k \cdot 5 + \frac{2}{5} k \cdot 5 - 30 + 11}{5}$

Simplify the numerator.

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Combine $\frac{6}{5}$ and $k$ .

$\frac{\frac{6 k}{5} \cdot 5 - 2 k \cdot 5 + \frac{2}{5} k \cdot 5 - 30 + 11}{5}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{\frac{6 k}{5} \cdot 5 - 2 k \cdot 5 + \frac{2}{5} k \cdot 5 - 30 + 11}{5}$

Rewrite the expression.

$\frac{6 k - 2 k \cdot 5 + \frac{2}{5} k \cdot 5 - 30 + 11}{5}$

Multiply $5$ by $- 2$ .

$\frac{6 k - 10 k + \frac{2}{5} k \cdot 5 - 30 + 11}{5}$

Combine $\frac{2}{5}$ and $k$ .

$\frac{6 k - 10 k + \frac{2 k}{5} \cdot 5 - 30 + 11}{5}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{6 k - 10 k + \frac{2 k}{5} \cdot 5 - 30 + 11}{5}$

Rewrite the expression.

$\frac{6 k - 10 k + 2 k - 30 + 11}{5}$

Subtract $10 k$ from $6 k$ .

$\frac{- 4 k + 2 k - 30 + 11}{5}$

Add $- 4 k$ and $2 k$ .

$\frac{- 2 k - 30 + 11}{5}$

Add $- 30$ and $11$ .

$\frac{- 2 k - 19}{5}$

Simplify with factoring out.

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Factor $- 1$ out of $- 2 k$ .

$\frac{- (2 k) - 19}{5}$

Rewrite $- 19$ as $- 1 (19)$ .

$\frac{- (2 k) - 1 (19)}{5}$

Factor $- 1$ out of $- (2 k) - 1 (19)$ .

$\frac{- (2 k + 19)}{5}$

Simplify the expression.

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Rewrite $- (2 k + 19)$ as $- 1 (2 k + 19)$ .

$\frac{- 1 (2 k + 19)}{5}$

Move the negative in front of the fraction.

$- \frac{2 k + 19}{5}$

Combine 6/5k+9/5-2k+2/5+2/5k-6

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