Solve for u 9u+24=-4(u+7)

$9 u + 24 = - 4 (u + 7)$

Simplify $- 4 (u + 7)$ .

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Apply the distributive property.

$9 u + 24 = - 4 u - 4 \cdot 7$

Multiply $- 4$ by $7$ .

$9 u + 24 = - 4 u - 28$

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

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Add $4 u$ to both sides of the equation.

$9 u + 24 + 4 u = - 28$

Add $9 u$ and $4 u$ .

$13 u + 24 = - 28$

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

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Subtract $24$ from both sides of the equation.

$13 u = - 28 - 24$

Subtract $24$ from $- 28$ .

$13 u = - 52$

Divide each term by $13$ and simplify.

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Divide each term in $13 u = - 52$ by $13$ .

$\frac{13 u}{13} = \frac{- 52}{13}$

Cancel the common factor of $13$ .

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Cancel the common factor.

$\frac{13 u}{13} = \frac{- 52}{13}$

Divide $u$ by $1$ .

$u = \frac{- 52}{13}$

Divide $- 52$ by $13$ .

$u = - 4$

Solve for u 9u+24=-4(u+7)

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