-8n+40=-4(-1+3n)+8

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Solution for -8n+40=-4(-1+3n)+8 equation: 


Simplifying
-8n + 40 = -4(-1 + 3n) + 8

Reorder the terms:
40 + -8n = -4(-1 + 3n) + 8
40 + -8n = (-1 * -4 + 3n * -4) + 8
40 + -8n = (4 + -12n) + 8

Reorder the terms:
40 + -8n = 4 + 8 + -12n

Combine like terms: 4 + 8 = 12
40 + -8n = 12 + -12n

Solving
40 + -8n = 12 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
40 + -8n + 12n = 12 + -12n + 12n

Combine like terms: -8n + 12n = 4n
40 + 4n = 12 + -12n + 12n

Combine like terms: -12n + 12n = 0
40 + 4n = 12 + 0
40 + 4n = 12

Add '-40' to each side of the equation.
40 + -40 + 4n = 12 + -40

Combine like terms: 40 + -40 = 0
0 + 4n = 12 + -40
4n = 12 + -40

Combine like terms: 12 + -40 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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