57=7(1-n)-3(5+2n)

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Solution for 57=7(1-n)-3(5+2n) equation:


Simplifying
57 = 7(1 + -1n) + -3(5 + 2n)
57 = (1 * 7 + -1n * 7) + -3(5 + 2n)
57 = (7 + -7n) + -3(5 + 2n)
57 = 7 + -7n + (5 * -3 + 2n * -3)
57 = 7 + -7n + (-15 + -6n)

Reorder the terms:
57 = 7 + -15 + -7n + -6n

Combine like terms: 7 + -15 = -8
57 = -8 + -7n + -6n

Combine like terms: -7n + -6n = -13n
57 = -8 + -13n

Solving
57 = -8 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
57 + 13n = -8 + -13n + 13n

Combine like terms: -13n + 13n = 0
57 + 13n = -8 + 0
57 + 13n = -8

Add '-57' to each side of the equation.
57 + -57 + 13n = -8 + -57

Combine like terms: 57 + -57 = 0
0 + 13n = -8 + -57
13n = -8 + -57

Combine like terms: -8 + -57 = -65
13n = -65

Divide each side by '13'.
n = -5

Simplifying
n = -5

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