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

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


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

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

Reorder the terms:
40 + -5n = -10 + -10 + 30n

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

Solving
40 + -5n = -20 + 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.
40 + -5n + -30n = -20 + 30n + -30n

Combine like terms: -5n + -30n = -35n
40 + -35n = -20 + 30n + -30n

Combine like terms: 30n + -30n = 0
40 + -35n = -20 + 0
40 + -35n = -20

Add '-40' to each side of the equation.
40 + -40 + -35n = -20 + -40

Combine like terms: 40 + -40 = 0
0 + -35n = -20 + -40
-35n = -20 + -40

Combine like terms: -20 + -40 = -60
-35n = -60

Divide each side by '-35'.
n = 1.714285714

Simplifying
n = 1.714285714

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