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

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


Simplifying
-5(6n + 2) = -5(-3 + -2n) + -2n

Reorder the terms:
-5(2 + 6n) = -5(-3 + -2n) + -2n
(2 * -5 + 6n * -5) = -5(-3 + -2n) + -2n
(-10 + -30n) = -5(-3 + -2n) + -2n
-10 + -30n = (-3 * -5 + -2n * -5) + -2n
-10 + -30n = (15 + 10n) + -2n

Combine like terms: 10n + -2n = 8n
-10 + -30n = 15 + 8n

Solving
-10 + -30n = 15 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-10 + -30n + -8n = 15 + 8n + -8n

Combine like terms: -30n + -8n = -38n
-10 + -38n = 15 + 8n + -8n

Combine like terms: 8n + -8n = 0
-10 + -38n = 15 + 0
-10 + -38n = 15

Add '10' to each side of the equation.
-10 + 10 + -38n = 15 + 10

Combine like terms: -10 + 10 = 0
0 + -38n = 15 + 10
-38n = 15 + 10

Combine like terms: 15 + 10 = 25
-38n = 25

Divide each side by '-38'.
n = -0.6578947368

Simplifying
n = -0.6578947368

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