-6(n+7)=-84

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


Simplifying
-6(n + 7) = -84

Reorder the terms:
-6(7 + n) = -84
(7 * -6 + n * -6) = -84
(-42 + -6n) = -84

Solving
-42 + -6n = -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 + -6n = -84 + 42

Combine like terms: -42 + 42 = 0
0 + -6n = -84 + 42
-6n = -84 + 42

Combine like terms: -84 + 42 = -42
-6n = -42

Divide each side by '-6'.
n = 7

Simplifying
n = 7

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