Solve for: 5(7-7n)-7n=-6n-1

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Expression: $5(7-7n)-7n=-6n-1$

Expand $ 5(7-7n):{\quad}35-35n$

$35-35n-7n=-6n-1$

Add similar elements: $ -35n-7n=-42n$

$35-42n=-6n-1$

Subtract $35$ from both sides

$35-42n-35=-6n-1-35$

Simplify

$-42n=-6n-36$

Add $6n$ to both sides

$-42n+6n=-6n-36+6n$

Simplify

$-36n=-36$

Divide both sides by $-36$

$\frac{-36n}{-36}=\frac{-36}{-36}$

Simplify

$n=1$

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