-2n-8(n-8)=-21+7n

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Solution for -2n-8(n-8)=-21+7n equation:


Simplifying
-2n + -8(n + -8) = -21 + 7n

Reorder the terms:
-2n + -8(-8 + n) = -21 + 7n
-2n + (-8 * -8 + n * -8) = -21 + 7n
-2n + (64 + -8n) = -21 + 7n

Reorder the terms:
64 + -2n + -8n = -21 + 7n

Combine like terms: -2n + -8n = -10n
64 + -10n = -21 + 7n

Solving
64 + -10n = -21 + 7n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7n' to each side of the equation.
64 + -10n + -7n = -21 + 7n + -7n

Combine like terms: -10n + -7n = -17n
64 + -17n = -21 + 7n + -7n

Combine like terms: 7n + -7n = 0
64 + -17n = -21 + 0
64 + -17n = -21

Add '-64' to each side of the equation.
64 + -64 + -17n = -21 + -64

Combine like terms: 64 + -64 = 0
0 + -17n = -21 + -64
-17n = -21 + -64

Combine like terms: -21 + -64 = -85
-17n = -85

Divide each side by '-17'.
n = 5

Simplifying
n = 5

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