106=6-4(3n-1)

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Solution for 106=6-4(3n-1) equation:


Simplifying
106 = 6 + -4(3n + -1)

Reorder the terms:
106 = 6 + -4(-1 + 3n)
106 = 6 + (-1 * -4 + 3n * -4)
106 = 6 + (4 + -12n)

Combine like terms: 6 + 4 = 10
106 = 10 + -12n

Solving
106 = 10 + -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.
106 + 12n = 10 + -12n + 12n

Combine like terms: -12n + 12n = 0
106 + 12n = 10 + 0
106 + 12n = 10

Add '-106' to each side of the equation.
106 + -106 + 12n = 10 + -106

Combine like terms: 106 + -106 = 0
0 + 12n = 10 + -106
12n = 10 + -106

Combine like terms: 10 + -106 = -96
12n = -96

Divide each side by '12'.
n = -8

Simplifying
n = -8

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