Solve for p 9p-6(p+2)=17

$9 p - 6 (p + 2) = 17$

Simplify $9 p - 6 (p + 2)$ .

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Simplify each term.

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Apply the distributive property.

$9 p - 6 p - 6 \cdot 2 = 17$

Multiply $- 6$ by $2$ .

$9 p - 6 p - 12 = 17$

Subtract $6 p$ from $9 p$ .

$3 p - 12 = 17$

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

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Add $12$ to both sides of the equation.

$3 p = 17 + 12$

Add $17$ and $12$ .

$3 p = 29$

Divide each term by $3$ and simplify.

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Divide each term in $3 p = 29$ by $3$ .

$\frac{3 p}{3} = \frac{29}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 p}{3} = \frac{29}{3}$

Divide $p$ by $1$ .

$p = \frac{29}{3}$

The result can be shown in multiple forms.

Exact Form:

$p = \frac{29}{3}$

Decimal Form:

$p = 9.\overline{6}$

Mixed Number Form:

$p = 9 \frac{2}{3}$

Solve for p 9p-6(p+2)=17

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