Solve for v 2(4v+7)=62

$2 (4 v + 7) = 62$

Divide each term by $2$ and simplify.

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Divide each term in $2 (4 v + 7) = 62$ by $2$ .

$\frac{2 (4 v + 7)}{2} = \frac{62}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 (4 v + 7)}{2} = \frac{62}{2}$

Divide $4 v + 7$ by $1$ .

$4 v + 7 = \frac{62}{2}$

Divide $62$ by $2$ .

$4 v + 7 = 31$

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

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Subtract $7$ from both sides of the equation.

$4 v = 31 - 7$

Subtract $7$ from $31$ .

$4 v = 24$

Divide each term by $4$ and simplify.

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Divide each term in $4 v = 24$ by $4$ .

$\frac{4 v}{4} = \frac{24}{4}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 v}{4} = \frac{24}{4}$

Divide $v$ by $1$ .

$v = \frac{24}{4}$

Divide $24$ by $4$ .

$v = 6$

Solve for v 2(4v+7)=62

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