89=-6(n-5)+8

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Solution for 89=-6(n-5)+8 equation:


Simplifying
89 = -6(n + -5) + 8

Reorder the terms:
89 = -6(-5 + n) + 8
89 = (-5 * -6 + n * -6) + 8
89 = (30 + -6n) + 8

Reorder the terms:
89 = 30 + 8 + -6n

Combine like terms: 30 + 8 = 38
89 = 38 + -6n

Solving
89 = 38 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
89 + 6n = 38 + -6n + 6n

Combine like terms: -6n + 6n = 0
89 + 6n = 38 + 0
89 + 6n = 38

Add '-89' to each side of the equation.
89 + -89 + 6n = 38 + -89

Combine like terms: 89 + -89 = 0
0 + 6n = 38 + -89
6n = 38 + -89

Combine like terms: 38 + -89 = -51
6n = -51

Divide each side by '6'.
n = -8.5

Simplifying
n = -8.5

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