Solve for p 2p=(-3p-6)/4

$2 p = \frac{- 3 p - 6}{4}$

Step 1

Multiply both sides by $4$ .

$2 p \cdot 4 = \frac{- 3 p - 6}{4} \cdot 4$

Step 2

Simplify.

Simplify the left side.

Multiply $4$ by $2$ .

$8 p = \frac{- 3 p - 6}{4} \cdot 4$

$8 p = \frac{- 3 p - 6}{4} \cdot 4$

Simplify the right side.

Simplify $\frac{- 3 p - 6}{4} \cdot 4$ .

Factor $3$ out of $- 3 p - 6$ .

Factor $3$ out of $- 3 p$ .

$8 p = \frac{3 (- p) - 6}{4} \cdot 4$

Factor $3$ out of $- 6$ .

$8 p = \frac{3 (- p) + 3 (- 2)}{4} \cdot 4$

Factor $3$ out of $3 (- p) + 3 (- 2)$ .

$8 p = \frac{3 (- p - 2)}{4} \cdot 4$

$8 p = \frac{3 (- p - 2)}{4} \cdot 4$

Cancel the common factor of $4$ .

Cancel the common factor.

$8 p = \frac{3 (- p - 2)}{4} \cdot 4$

Rewrite the expression.

$8 p = 3 (- p - 2)$

$8 p = 3 (- p - 2)$

Apply the distributive property.

$8 p = 3 (- p) + 3 \cdot - 2$

Multiply.

Multiply $- 1$ by $3$ .

$8 p = - 3 p + 3 \cdot - 2$

Multiply $3$ by $- 2$ .

$8 p = - 3 p - 6$

$8 p = - 3 p - 6$

$8 p = - 3 p - 6$

$8 p = - 3 p - 6$

$8 p = - 3 p - 6$

Step 3

Solve for $p$ .

Move all terms containing $p$ to the left side of the equation.

Add $3 p$ to both sides of the equation.

$8 p + 3 p = - 6$

Add $8 p$ and $3 p$ .

$11 p = - 6$

$11 p = - 6$

Divide each term in $11 p = - 6$ by $11$ and simplify.

Divide each term in $11 p = - 6$ by $11$ .

$\frac{11 p}{11} = \frac{- 6}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 p}{11} = \frac{- 6}{11}$

Divide $p$ by $1$ .

$p = \frac{- 6}{11}$

$p = \frac{- 6}{11}$

$p = \frac{- 6}{11}$

Simplify the right side.

Move the negative in front of the fraction.

$p = - \frac{6}{11}$

$p = - \frac{6}{11}$

$p = - \frac{6}{11}$

$p = - \frac{6}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$p = - \frac{6}{11}$

Decimal Form:

$p = - 0.\overline{54}$

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