Solve for n 5n-2(n-2)=-11

$5 n - 2 (n - 2) = - 11$

Simplify $5 n - 2 (n - 2)$ .

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Simplify each term.

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Apply the distributive property.

$5 n - 2 n - 2 \cdot - 2 = - 11$

Multiply $- 2$ by $- 2$ .

$5 n - 2 n + 4 = - 11$

Subtract $2 n$ from $5 n$ .

$3 n + 4 = - 11$

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

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Subtract $4$ from both sides of the equation.

$3 n = - 11 - 4$

Subtract $4$ from $- 11$ .

$3 n = - 15$

Divide each term by $3$ and simplify.

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Divide each term in $3 n = - 15$ by $3$ .

$\frac{3 n}{3} = \frac{- 15}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 n}{3} = \frac{- 15}{3}$

Divide $n$ by $1$ .

$n = \frac{- 15}{3}$

Divide $- 15$ by $3$ .

$n = - 5$

Solve for n 5n-2(n-2)=-11