-7(n-6)=36-8n

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Solution for -7(n-6)=36-8n equation: 


Simplifying
-7(n + -6) = 36 + -8n

Reorder the terms:
-7(-6 + n) = 36 + -8n
(-6 * -7 + n * -7) = 36 + -8n
(42 + -7n) = 36 + -8n

Solving
42 + -7n = 36 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
42 + -7n + 8n = 36 + -8n + 8n

Combine like terms: -7n + 8n = 1n
42 + 1n = 36 + -8n + 8n

Combine like terms: -8n + 8n = 0
42 + 1n = 36 + 0
42 + 1n = 36

Add '-42' to each side of the equation.
42 + -42 + 1n = 36 + -42

Combine like terms: 42 + -42 = 0
0 + 1n = 36 + -42
1n = 36 + -42

Combine like terms: 36 + -42 = -6
1n = -6

Divide each side by '1'.
n = -6

Simplifying
n = -6

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