40=-3(2n-8)+2n

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Solution for 40=-3(2n-8)+2n equation: 


Simplifying
40 = -3(2n + -8) + 2n

Reorder the terms:
40 = -3(-8 + 2n) + 2n
40 = (-8 * -3 + 2n * -3) + 2n
40 = (24 + -6n) + 2n

Combine like terms: -6n + 2n = -4n
40 = 24 + -4n

Solving
40 = 24 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
40 + 4n = 24 + -4n + 4n

Combine like terms: -4n + 4n = 0
40 + 4n = 24 + 0
40 + 4n = 24

Add '-40' to each side of the equation.
40 + -40 + 4n = 24 + -40

Combine like terms: 40 + -40 = 0
0 + 4n = 24 + -40
4n = 24 + -40

Combine like terms: 24 + -40 = -16
4n = -16

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

Simplifying
n = -4

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