15-7(5+3)n=12+2(n+7)

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Solution for 15-7(5+3)n=12+2(n+7) equation: 


Simplifying
15 + -7(5 + 3) * n = 12 + 2(n + 7)

Combine like terms: 5 + 3 = 8
15 + -7(8) * n = 12 + 2(n + 7)

Multiply -7 * 8
15 + -56n = 12 + 2(n + 7)

Reorder the terms:
15 + -56n = 12 + 2(7 + n)
15 + -56n = 12 + (7 * 2 + n * 2)
15 + -56n = 12 + (14 + 2n)

Combine like terms: 12 + 14 = 26
15 + -56n = 26 + 2n

Solving
15 + -56n = 26 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
15 + -56n + -2n = 26 + 2n + -2n

Combine like terms: -56n + -2n = -58n
15 + -58n = 26 + 2n + -2n

Combine like terms: 2n + -2n = 0
15 + -58n = 26 + 0
15 + -58n = 26

Add '-15' to each side of the equation.
15 + -15 + -58n = 26 + -15

Combine like terms: 15 + -15 = 0
0 + -58n = 26 + -15
-58n = 26 + -15

Combine like terms: 26 + -15 = 11
-58n = 11

Divide each side by '-58'.
n = -0.1896551724

Simplifying
n = -0.1896551724

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