7(n+6)=84

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


Simplifying
7(n + 6) = 84

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

Solving
42 + 7n = 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 + 7n = 84 + -42

Combine like terms: 42 + -42 = 0
0 + 7n = 84 + -42
7n = 84 + -42

Combine like terms: 84 + -42 = 42
7n = 42

Divide each side by '7'.
n = 6

Simplifying
n = 6

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