8(-n-2)-8(-3n-2)=-n+2n

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Solution for 8(-n-2)-8(-3n-2)=-n+2n equation:


Simplifying
8(-1n + -2) + -8(-3n + -2) = -1n + 2n

Reorder the terms:
8(-2 + -1n) + -8(-3n + -2) = -1n + 2n
(-2 * 8 + -1n * 8) + -8(-3n + -2) = -1n + 2n
(-16 + -8n) + -8(-3n + -2) = -1n + 2n

Reorder the terms:
-16 + -8n + -8(-2 + -3n) = -1n + 2n
-16 + -8n + (-2 * -8 + -3n * -8) = -1n + 2n
-16 + -8n + (16 + 24n) = -1n + 2n

Reorder the terms:
-16 + 16 + -8n + 24n = -1n + 2n

Combine like terms: -16 + 16 = 0
0 + -8n + 24n = -1n + 2n
-8n + 24n = -1n + 2n

Combine like terms: -8n + 24n = 16n
16n = -1n + 2n

Combine like terms: -1n + 2n = 1n
16n = 1n

Solving
16n = 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
16n + -1n = 1n + -1n

Combine like terms: 16n + -1n = 15n
15n = 1n + -1n

Combine like terms: 1n + -1n = 0
15n = 0

Divide each side by '15'.
n = 0

Simplifying
n = 0

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