-91=3(6n-2)+5

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Solution for -91=3(6n-2)+5 equation:


Simplifying
-91 = 3(6n + -2) + 5

Reorder the terms:
-91 = 3(-2 + 6n) + 5
-91 = (-2 * 3 + 6n * 3) + 5
-91 = (-6 + 18n) + 5

Reorder the terms:
-91 = -6 + 5 + 18n

Combine like terms: -6 + 5 = -1
-91 = -1 + 18n

Solving
-91 = -1 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
-91 + -18n = -1 + 18n + -18n

Combine like terms: 18n + -18n = 0
-91 + -18n = -1 + 0
-91 + -18n = -1

Add '91' to each side of the equation.
-91 + 91 + -18n = -1 + 91

Combine like terms: -91 + 91 = 0
0 + -18n = -1 + 91
-18n = -1 + 91

Combine like terms: -1 + 91 = 90
-18n = 90

Divide each side by '-18'.
n = -5

Simplifying
n = -5

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