-5n+5=2n+6(-7n-5)

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Solution for -5n+5=2n+6(-7n-5) equation:


Simplifying
-5n + 5 = 2n + 6(-7n + -5)

Reorder the terms:
5 + -5n = 2n + 6(-7n + -5)

Reorder the terms:
5 + -5n = 2n + 6(-5 + -7n)
5 + -5n = 2n + (-5 * 6 + -7n * 6)
5 + -5n = 2n + (-30 + -42n)

Reorder the terms:
5 + -5n = -30 + 2n + -42n

Combine like terms: 2n + -42n = -40n
5 + -5n = -30 + -40n

Solving
5 + -5n = -30 + -40n

Solving for variable 'n'.

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

Add '40n' to each side of the equation.
5 + -5n + 40n = -30 + -40n + 40n

Combine like terms: -5n + 40n = 35n
5 + 35n = -30 + -40n + 40n

Combine like terms: -40n + 40n = 0
5 + 35n = -30 + 0
5 + 35n = -30

Add '-5' to each side of the equation.
5 + -5 + 35n = -30 + -5

Combine like terms: 5 + -5 = 0
0 + 35n = -30 + -5
35n = -30 + -5

Combine like terms: -30 + -5 = -35
35n = -35

Divide each side by '35'.
n = -1

Simplifying
n = -1

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