7n-7(5+8n)=8n-35

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Solution for 7n-7(5+8n)=8n-35 equation:


Simplifying
7n + -7(5 + 8n) = 8n + -35
7n + (5 * -7 + 8n * -7) = 8n + -35
7n + (-35 + -56n) = 8n + -35

Reorder the terms:
-35 + 7n + -56n = 8n + -35

Combine like terms: 7n + -56n = -49n
-35 + -49n = 8n + -35

Reorder the terms:
-35 + -49n = -35 + 8n

Add '35' to each side of the equation.
-35 + 35 + -49n = -35 + 35 + 8n

Combine like terms: -35 + 35 = 0
0 + -49n = -35 + 35 + 8n
-49n = -35 + 35 + 8n

Combine like terms: -35 + 35 = 0
-49n = 0 + 8n
-49n = 8n

Solving
-49n = 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.
-49n + -8n = 8n + -8n

Combine like terms: -49n + -8n = -57n
-57n = 8n + -8n

Combine like terms: 8n + -8n = 0
-57n = 0

Divide each side by '-57'.
n = 0

Simplifying
n = 0

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