40-3n=-8(4n-8)+5n

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Solution for 40-3n=-8(4n-8)+5n equation: 


Simplifying
40 + -3n = -8(4n + -8) + 5n

Reorder the terms:
40 + -3n = -8(-8 + 4n) + 5n
40 + -3n = (-8 * -8 + 4n * -8) + 5n
40 + -3n = (64 + -32n) + 5n

Combine like terms: -32n + 5n = -27n
40 + -3n = 64 + -27n

Solving
40 + -3n = 64 + -27n

Solving for variable 'n'.

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

Add '27n' to each side of the equation.
40 + -3n + 27n = 64 + -27n + 27n

Combine like terms: -3n + 27n = 24n
40 + 24n = 64 + -27n + 27n

Combine like terms: -27n + 27n = 0
40 + 24n = 64 + 0
40 + 24n = 64

Add '-40' to each side of the equation.
40 + -40 + 24n = 64 + -40

Combine like terms: 40 + -40 = 0
0 + 24n = 64 + -40
24n = 64 + -40

Combine like terms: 64 + -40 = 24
24n = 24

Divide each side by '24'.
n = 1

Simplifying
n = 1

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