-2(n+4)=8n+32

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Solution for -2(n+4)=8n+32 equation:


Simplifying
-2(n + 4) = 8n + 32

Reorder the terms:
-2(4 + n) = 8n + 32
(4 * -2 + n * -2) = 8n + 32
(-8 + -2n) = 8n + 32

Reorder the terms:
-8 + -2n = 32 + 8n

Solving
-8 + -2n = 32 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-8 + -2n + -8n = 32 + 8n + -8n

Combine like terms: -2n + -8n = -10n
-8 + -10n = 32 + 8n + -8n

Combine like terms: 8n + -8n = 0
-8 + -10n = 32 + 0
-8 + -10n = 32

Add '8' to each side of the equation.
-8 + 8 + -10n = 32 + 8

Combine like terms: -8 + 8 = 0
0 + -10n = 32 + 8
-10n = 32 + 8

Combine like terms: 32 + 8 = 40
-10n = 40

Divide each side by '-10'.
n = -4

Simplifying
n = -4

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