Solve for z -5z-(4z+6)=21

$- 5 z - (4 z + 6) = 21$

Simplify $- 5 z - (4 z + 6)$ .

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Simplify each term.

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Apply the distributive property.

$- 5 z - (4 z) - 1 \cdot 6 = 21$

Multiply $4$ by $- 1$ .

$- 5 z - 4 z - 1 \cdot 6 = 21$

Multiply $- 1$ by $6$ .

$- 5 z - 4 z - 6 = 21$

Subtract $4 z$ from $- 5 z$ .

$- 9 z - 6 = 21$

Move all terms not containing $z$ to the right side of the equation.

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Add $6$ to both sides of the equation.

$- 9 z = 21 + 6$

Add $21$ and $6$ .

$- 9 z = 27$

Divide each term by $- 9$ and simplify.

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Divide each term in $- 9 z = 27$ by $- 9$ .

$\frac{- 9 z}{- 9} = \frac{27}{- 9}$

Cancel the common factor of $- 9$ .

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Cancel the common factor.

$\frac{- 9 z}{- 9} = \frac{27}{- 9}$

Divide $z$ by $1$ .

$z = \frac{27}{- 9}$

Divide $27$ by $- 9$ .

$z = - 3$

Solve for z -5z-(4z+6)=21

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