16-(n+8)=3n+12-2n

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Solution for 16-(n+8)=3n+12-2n equation: 


Simplifying
16 + -1(n + 8) = 3n + 12 + -2n

Reorder the terms:
16 + -1(8 + n) = 3n + 12 + -2n
16 + (8 * -1 + n * -1) = 3n + 12 + -2n
16 + (-8 + -1n) = 3n + 12 + -2n

Combine like terms: 16 + -8 = 8
8 + -1n = 3n + 12 + -2n

Reorder the terms:
8 + -1n = 12 + 3n + -2n

Combine like terms: 3n + -2n = 1n
8 + -1n = 12 + 1n

Solving
8 + -1n = 12 + 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.
8 + -1n + -1n = 12 + 1n + -1n

Combine like terms: -1n + -1n = -2n
8 + -2n = 12 + 1n + -1n

Combine like terms: 1n + -1n = 0
8 + -2n = 12 + 0
8 + -2n = 12

Add '-8' to each side of the equation.
8 + -8 + -2n = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -2n = 12 + -8
-2n = 12 + -8

Combine like terms: 12 + -8 = 4
-2n = 4

Divide each side by '-2'.
n = -2

Simplifying
n = -2

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