-4(-10n+20)=-5(-6n+12)

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Solution for -4(-10n+20)=-5(-6n+12) equation:


Simplifying
-4(-10n + 20) = -5(-6n + 12)

Reorder the terms:
-4(20 + -10n) = -5(-6n + 12)
(20 * -4 + -10n * -4) = -5(-6n + 12)
(-80 + 40n) = -5(-6n + 12)

Reorder the terms:
-80 + 40n = -5(12 + -6n)
-80 + 40n = (12 * -5 + -6n * -5)
-80 + 40n = (-60 + 30n)

Solving
-80 + 40n = -60 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
-80 + 40n + -30n = -60 + 30n + -30n

Combine like terms: 40n + -30n = 10n
-80 + 10n = -60 + 30n + -30n

Combine like terms: 30n + -30n = 0
-80 + 10n = -60 + 0
-80 + 10n = -60

Add '80' to each side of the equation.
-80 + 80 + 10n = -60 + 80

Combine like terms: -80 + 80 = 0
0 + 10n = -60 + 80
10n = -60 + 80

Combine like terms: -60 + 80 = 20
10n = 20

Divide each side by '10'.
n = 2

Simplifying
n = 2

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