-6(-7+3n)=-84

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Solution for -6(-7+3n)=-84 equation: 


Simplifying
-6(-7 + 3n) = -84
(-7 * -6 + 3n * -6) = -84
(42 + -18n) = -84

Solving
42 + -18n = -84

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + -18n = -84 + -42

Combine like terms: 42 + -42 = 0
0 + -18n = -84 + -42
-18n = -84 + -42

Combine like terms: -84 + -42 = -126
-18n = -126

Divide each side by '-18'.
n = 7

Simplifying
n = 7

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