-3n-5(5-6n)=-5(1-7n)+2n

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Solution for -3n-5(5-6n)=-5(1-7n)+2n equation: 


Simplifying
-3n + -5(5 + -6n) = -5(1 + -7n) + 2n
-3n + (5 * -5 + -6n * -5) = -5(1 + -7n) + 2n
-3n + (-25 + 30n) = -5(1 + -7n) + 2n

Reorder the terms:
-25 + -3n + 30n = -5(1 + -7n) + 2n

Combine like terms: -3n + 30n = 27n
-25 + 27n = -5(1 + -7n) + 2n
-25 + 27n = (1 * -5 + -7n * -5) + 2n
-25 + 27n = (-5 + 35n) + 2n

Combine like terms: 35n + 2n = 37n
-25 + 27n = -5 + 37n

Solving
-25 + 27n = -5 + 37n

Solving for variable 'n'.

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

Add '-37n' to each side of the equation.
-25 + 27n + -37n = -5 + 37n + -37n

Combine like terms: 27n + -37n = -10n
-25 + -10n = -5 + 37n + -37n

Combine like terms: 37n + -37n = 0
-25 + -10n = -5 + 0
-25 + -10n = -5

Add '25' to each side of the equation.
-25 + 25 + -10n = -5 + 25

Combine like terms: -25 + 25 = 0
0 + -10n = -5 + 25
-10n = -5 + 25

Combine like terms: -5 + 25 = 20
-10n = 20

Divide each side by '-10'.
n = -2

Simplifying
n = -2

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