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

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Solution for -8n+n=-2(-1+8n)-5(1-2n) equation:


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

Combine like terms: -8n + n = -7n
-7n = -2(-1 + 8n) + -5(1 + -2n)
-7n = (-1 * -2 + 8n * -2) + -5(1 + -2n)
-7n = (2 + -16n) + -5(1 + -2n)
-7n = 2 + -16n + (1 * -5 + -2n * -5)
-7n = 2 + -16n + (-5 + 10n)

Reorder the terms:
-7n = 2 + -5 + -16n + 10n

Combine like terms: 2 + -5 = -3
-7n = -3 + -16n + 10n

Combine like terms: -16n + 10n = -6n
-7n = -3 + -6n

Solving
-7n = -3 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-7n + 6n = -3 + -6n + 6n

Combine like terms: -7n + 6n = -1n
-1n = -3 + -6n + 6n

Combine like terms: -6n + 6n = 0
-1n = -3 + 0
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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