86=-2n-7(n-2)

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Solution for 86=-2n-7(n-2) equation:


Simplifying
86 = -2n + -7(n + -2)

Reorder the terms:
86 = -2n + -7(-2 + n)
86 = -2n + (-2 * -7 + n * -7)
86 = -2n + (14 + -7n)

Reorder the terms:
86 = 14 + -2n + -7n

Combine like terms: -2n + -7n = -9n
86 = 14 + -9n

Solving
86 = 14 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
86 + 9n = 14 + -9n + 9n

Combine like terms: -9n + 9n = 0
86 + 9n = 14 + 0
86 + 9n = 14

Add '-86' to each side of the equation.
86 + -86 + 9n = 14 + -86

Combine like terms: 86 + -86 = 0
0 + 9n = 14 + -86
9n = 14 + -86

Combine like terms: 14 + -86 = -72
9n = -72

Divide each side by '9'.
n = -8

Simplifying
n = -8

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