5(-2n-4)-2(-4-7n)=8n-n

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Solution for 5(-2n-4)-2(-4-7n)=8n-n equation:


Simplifying
5(-2n + -4) + -2(-4 + -7n) = 8n + -1n

Reorder the terms:
5(-4 + -2n) + -2(-4 + -7n) = 8n + -1n
(-4 * 5 + -2n * 5) + -2(-4 + -7n) = 8n + -1n
(-20 + -10n) + -2(-4 + -7n) = 8n + -1n
-20 + -10n + (-4 * -2 + -7n * -2) = 8n + -1n
-20 + -10n + (8 + 14n) = 8n + -1n

Reorder the terms:
-20 + 8 + -10n + 14n = 8n + -1n

Combine like terms: -20 + 8 = -12
-12 + -10n + 14n = 8n + -1n

Combine like terms: -10n + 14n = 4n
-12 + 4n = 8n + -1n

Combine like terms: 8n + -1n = 7n
-12 + 4n = 7n

Solving
-12 + 4n = 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.
-12 + 4n + -7n = 7n + -7n

Combine like terms: 4n + -7n = -3n
-12 + -3n = 7n + -7n

Combine like terms: 7n + -7n = 0
-12 + -3n = 0

Add '12' to each side of the equation.
-12 + 12 + -3n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -3n = 0 + 12
-3n = 0 + 12

Combine like terms: 0 + 12 = 12
-3n = 12

Divide each side by '-3'.
n = -4

Simplifying
n = -4

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