6(-3n+5)=84

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Solution for 6(-3n+5)=84 equation: 


Simplifying
6(-3n + 5) = 84

Reorder the terms:
6(5 + -3n) = 84
(5 * 6 + -3n * 6) = 84
(30 + -18n) = 84

Solving
30 + -18n = 84

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 + -18n = 84 + -30

Combine like terms: 30 + -30 = 0
0 + -18n = 84 + -30
-18n = 84 + -30

Combine like terms: 84 + -30 = 54
-18n = 54

Divide each side by '-18'.
n = -3

Simplifying
n = -3

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