7(-8n+2)=-7(7n+10)

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Solution for 7(-8n+2)=-7(7n+10) equation: 


Simplifying
7(-8n + 2) = -7(7n + 10)

Reorder the terms:
7(2 + -8n) = -7(7n + 10)
(2 * 7 + -8n * 7) = -7(7n + 10)
(14 + -56n) = -7(7n + 10)

Reorder the terms:
14 + -56n = -7(10 + 7n)
14 + -56n = (10 * -7 + 7n * -7)
14 + -56n = (-70 + -49n)

Solving
14 + -56n = -70 + -49n

Solving for variable 'n'.

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

Add '49n' to each side of the equation.
14 + -56n + 49n = -70 + -49n + 49n

Combine like terms: -56n + 49n = -7n
14 + -7n = -70 + -49n + 49n

Combine like terms: -49n + 49n = 0
14 + -7n = -70 + 0
14 + -7n = -70

Add '-14' to each side of the equation.
14 + -14 + -7n = -70 + -14

Combine like terms: 14 + -14 = 0
0 + -7n = -70 + -14
-7n = -70 + -14

Combine like terms: -70 + -14 = -84
-7n = -84

Divide each side by '-7'.
n = 12

Simplifying
n = 12

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