106=8(7-6n)+2

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Solution for 106=8(7-6n)+2 equation: 


Simplifying
106 = 8(7 + -6n) + 2
106 = (7 * 8 + -6n * 8) + 2
106 = (56 + -48n) + 2

Reorder the terms:
106 = 56 + 2 + -48n

Combine like terms: 56 + 2 = 58
106 = 58 + -48n

Solving
106 = 58 + -48n

Solving for variable 'n'.

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

Add '48n' to each side of the equation.
106 + 48n = 58 + -48n + 48n

Combine like terms: -48n + 48n = 0
106 + 48n = 58 + 0
106 + 48n = 58

Add '-106' to each side of the equation.
106 + -106 + 48n = 58 + -106

Combine like terms: 106 + -106 = 0
0 + 48n = 58 + -106
48n = 58 + -106

Combine like terms: 58 + -106 = -48
48n = -48

Divide each side by '48'.
n = -1

Simplifying
n = -1

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