10(12-3n)=-12(5n+5)

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Solution for 10(12-3n)=-12(5n+5) equation: 


Simplifying
10(12 + -3n) = -12(5n + 5)
(12 * 10 + -3n * 10) = -12(5n + 5)
(120 + -30n) = -12(5n + 5)

Reorder the terms:
120 + -30n = -12(5 + 5n)
120 + -30n = (5 * -12 + 5n * -12)
120 + -30n = (-60 + -60n)

Solving
120 + -30n = -60 + -60n

Solving for variable 'n'.

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

Add '60n' to each side of the equation.
120 + -30n + 60n = -60 + -60n + 60n

Combine like terms: -30n + 60n = 30n
120 + 30n = -60 + -60n + 60n

Combine like terms: -60n + 60n = 0
120 + 30n = -60 + 0
120 + 30n = -60

Add '-120' to each side of the equation.
120 + -120 + 30n = -60 + -120

Combine like terms: 120 + -120 = 0
0 + 30n = -60 + -120
30n = -60 + -120

Combine like terms: -60 + -120 = -180
30n = -180

Divide each side by '30'.
n = -6

Simplifying
n = -6

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