6n-9n+6=-7n+86-6n

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Solution for 6n-9n+6=-7n+86-6n equation:


Simplifying
6n + -9n + 6 = -7n + 86 + -6n

Reorder the terms:
6 + 6n + -9n = -7n + 86 + -6n

Combine like terms: 6n + -9n = -3n
6 + -3n = -7n + 86 + -6n

Reorder the terms:
6 + -3n = 86 + -7n + -6n

Combine like terms: -7n + -6n = -13n
6 + -3n = 86 + -13n

Solving
6 + -3n = 86 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
6 + -3n + 13n = 86 + -13n + 13n

Combine like terms: -3n + 13n = 10n
6 + 10n = 86 + -13n + 13n

Combine like terms: -13n + 13n = 0
6 + 10n = 86 + 0
6 + 10n = 86

Add '-6' to each side of the equation.
6 + -6 + 10n = 86 + -6

Combine like terms: 6 + -6 = 0
0 + 10n = 86 + -6
10n = 86 + -6

Combine like terms: 86 + -6 = 80
10n = 80

Divide each side by '10'.
n = 8

Simplifying
n = 8

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