Evaluate: 5(n+8)=2(n-1)

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Expression: $5\left( n+8 \right)=2\left( n-1 \right)$

Distribute $5$ through the parentheses

$5n+40=2\left( n-1 \right)$

Distribute $2$ through the parentheses

$5n+40=2n-2$

Move the variable to the left-hand side and change its sign

$5n+40-2n=-2$

Move the constant to the right-hand side and change its sign

$5n-2n=-2-40$

Collect like terms

$3n=-2-40$

Calculate the difference

$3n=-42$

Divide both sides of the equation by $3$

$n=-14$

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