-84=2(6n-2)+4

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Solution for -84=2(6n-2)+4 equation:


Simplifying
-84 = 2(6n + -2) + 4

Reorder the terms:
-84 = 2(-2 + 6n) + 4
-84 = (-2 * 2 + 6n * 2) + 4
-84 = (-4 + 12n) + 4

Reorder the terms:
-84 = -4 + 4 + 12n

Combine like terms: -4 + 4 = 0
-84 = 0 + 12n
-84 = 12n

Solving
-84 = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-84 + -12n = 12n + -12n

Combine like terms: 12n + -12n = 0
-84 + -12n = 0

Add '84' to each side of the equation.
-84 + 84 + -12n = 0 + 84

Combine like terms: -84 + 84 = 0
0 + -12n = 0 + 84
-12n = 0 + 84

Combine like terms: 0 + 84 = 84
-12n = 84

Divide each side by '-12'.
n = -7

Simplifying
n = -7

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