3n+8=2(n-4)-2(1-n)

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Solution for 3n+8=2(n-4)-2(1-n) equation:


Simplifying
3n + 8 = 2(n + -4) + -2(1 + -1n)

Reorder the terms:
8 + 3n = 2(n + -4) + -2(1 + -1n)

Reorder the terms:
8 + 3n = 2(-4 + n) + -2(1 + -1n)
8 + 3n = (-4 * 2 + n * 2) + -2(1 + -1n)
8 + 3n = (-8 + 2n) + -2(1 + -1n)
8 + 3n = -8 + 2n + (1 * -2 + -1n * -2)
8 + 3n = -8 + 2n + (-2 + 2n)

Reorder the terms:
8 + 3n = -8 + -2 + 2n + 2n

Combine like terms: -8 + -2 = -10
8 + 3n = -10 + 2n + 2n

Combine like terms: 2n + 2n = 4n
8 + 3n = -10 + 4n

Solving
8 + 3n = -10 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
8 + 3n + -4n = -10 + 4n + -4n

Combine like terms: 3n + -4n = -1n
8 + -1n = -10 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + -1n = -10 + 0
8 + -1n = -10

Add '-8' to each side of the equation.
8 + -8 + -1n = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = -10 + -8
-1n = -10 + -8

Combine like terms: -10 + -8 = -18
-1n = -18

Divide each side by '-1'.
n = 18

Simplifying
n = 18

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