6(5-6n)-3n=108

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Solution for 6(5-6n)-3n=108 equation:


Simplifying
6(5 + -6n) + -3n = 108
(5 * 6 + -6n * 6) + -3n = 108
(30 + -36n) + -3n = 108

Combine like terms: -36n + -3n = -39n
30 + -39n = 108

Solving
30 + -39n = 108

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + -39n = 108 + -30

Combine like terms: 30 + -30 = 0
0 + -39n = 108 + -30
-39n = 108 + -30

Combine like terms: 108 + -30 = 78
-39n = 78

Divide each side by '-39'.
n = -2

Simplifying
n = -2

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