86=2-7(3n-6)

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Solution for 86=2-7(3n-6) equation:


Simplifying
86 = 2 + -7(3n + -6)

Reorder the terms:
86 = 2 + -7(-6 + 3n)
86 = 2 + (-6 * -7 + 3n * -7)
86 = 2 + (42 + -21n)

Combine like terms: 2 + 42 = 44
86 = 44 + -21n

Solving
86 = 44 + -21n

Solving for variable 'n'.

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

Add '21n' to each side of the equation.
86 + 21n = 44 + -21n + 21n

Combine like terms: -21n + 21n = 0
86 + 21n = 44 + 0
86 + 21n = 44

Add '-86' to each side of the equation.
86 + -86 + 21n = 44 + -86

Combine like terms: 86 + -86 = 0
0 + 21n = 44 + -86
21n = 44 + -86

Combine like terms: 44 + -86 = -42
21n = -42

Divide each side by '21'.
n = -2

Simplifying
n = -2

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