-5(n-8)=-10(1-3n)-10n

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Solution for -5(n-8)=-10(1-3n)-10n equation: 


Simplifying
-5(n + -8) = -10(1 + -3n) + -10n

Reorder the terms:
-5(-8 + n) = -10(1 + -3n) + -10n
(-8 * -5 + n * -5) = -10(1 + -3n) + -10n
(40 + -5n) = -10(1 + -3n) + -10n
40 + -5n = (1 * -10 + -3n * -10) + -10n
40 + -5n = (-10 + 30n) + -10n

Combine like terms: 30n + -10n = 20n
40 + -5n = -10 + 20n

Solving
40 + -5n = -10 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
40 + -5n + -20n = -10 + 20n + -20n

Combine like terms: -5n + -20n = -25n
40 + -25n = -10 + 20n + -20n

Combine like terms: 20n + -20n = 0
40 + -25n = -10 + 0
40 + -25n = -10

Add '-40' to each side of the equation.
40 + -40 + -25n = -10 + -40

Combine like terms: 40 + -40 = 0
0 + -25n = -10 + -40
-25n = -10 + -40

Combine like terms: -10 + -40 = -50
-25n = -50

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

Simplifying
n = 2

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