106=6n-5(2+7n)

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Solution for 106=6n-5(2+7n) equation:


Simplifying
106 = 6n + -5(2 + 7n)
106 = 6n + (2 * -5 + 7n * -5)
106 = 6n + (-10 + -35n)

Reorder the terms:
106 = -10 + 6n + -35n

Combine like terms: 6n + -35n = -29n
106 = -10 + -29n

Solving
106 = -10 + -29n

Solving for variable 'n'.

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

Add '29n' to each side of the equation.
106 + 29n = -10 + -29n + 29n

Combine like terms: -29n + 29n = 0
106 + 29n = -10 + 0
106 + 29n = -10

Add '-106' to each side of the equation.
106 + -106 + 29n = -10 + -106

Combine like terms: 106 + -106 = 0
0 + 29n = -10 + -106
29n = -10 + -106

Combine like terms: -10 + -106 = -116
29n = -116

Divide each side by '29'.
n = -4

Simplifying
n = -4

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