-5n+2=-3n+7(8n-8)

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Solution for -5n+2=-3n+7(8n-8) equation: 


Simplifying
-5n + 2 = -3n + 7(8n + -8)

Reorder the terms:
2 + -5n = -3n + 7(8n + -8)

Reorder the terms:
2 + -5n = -3n + 7(-8 + 8n)
2 + -5n = -3n + (-8 * 7 + 8n * 7)
2 + -5n = -3n + (-56 + 56n)

Reorder the terms:
2 + -5n = -56 + -3n + 56n

Combine like terms: -3n + 56n = 53n
2 + -5n = -56 + 53n

Solving
2 + -5n = -56 + 53n

Solving for variable 'n'.

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

Add '-53n' to each side of the equation.
2 + -5n + -53n = -56 + 53n + -53n

Combine like terms: -5n + -53n = -58n
2 + -58n = -56 + 53n + -53n

Combine like terms: 53n + -53n = 0
2 + -58n = -56 + 0
2 + -58n = -56

Add '-2' to each side of the equation.
2 + -2 + -58n = -56 + -2

Combine like terms: 2 + -2 = 0
0 + -58n = -56 + -2
-58n = -56 + -2

Combine like terms: -56 + -2 = -58
-58n = -58

Divide each side by '-58'.
n = 1

Simplifying
n = 1

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