5(1+7n)-2(6+5n)=-57

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Solution for 5(1+7n)-2(6+5n)=-57 equation: 


Simplifying
5(1 + 7n) + -2(6 + 5n) = -57
(1 * 5 + 7n * 5) + -2(6 + 5n) = -57
(5 + 35n) + -2(6 + 5n) = -57
5 + 35n + (6 * -2 + 5n * -2) = -57
5 + 35n + (-12 + -10n) = -57

Reorder the terms:
5 + -12 + 35n + -10n = -57

Combine like terms: 5 + -12 = -7
-7 + 35n + -10n = -57

Combine like terms: 35n + -10n = 25n
-7 + 25n = -57

Solving
-7 + 25n = -57

Solving for variable 'n'.

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

Add '7' to each side of the equation.
-7 + 7 + 25n = -57 + 7

Combine like terms: -7 + 7 = 0
0 + 25n = -57 + 7
25n = -57 + 7

Combine like terms: -57 + 7 = -50
25n = -50

Divide each side by '25'.
n = -2

Simplifying
n = -2

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