-8(2n-3)-4(2n-8)=32

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Solution for -8(2n-3)-4(2n-8)=32 equation: 


Simplifying
-8(2n + -3) + -4(2n + -8) = 32

Reorder the terms:
-8(-3 + 2n) + -4(2n + -8) = 32
(-3 * -8 + 2n * -8) + -4(2n + -8) = 32
(24 + -16n) + -4(2n + -8) = 32

Reorder the terms:
24 + -16n + -4(-8 + 2n) = 32
24 + -16n + (-8 * -4 + 2n * -4) = 32
24 + -16n + (32 + -8n) = 32

Reorder the terms:
24 + 32 + -16n + -8n = 32

Combine like terms: 24 + 32 = 56
56 + -16n + -8n = 32

Combine like terms: -16n + -8n = -24n
56 + -24n = 32

Solving
56 + -24n = 32

Solving for variable 'n'.

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

Add '-56' to each side of the equation.
56 + -56 + -24n = 32 + -56

Combine like terms: 56 + -56 = 0
0 + -24n = 32 + -56
-24n = 32 + -56

Combine like terms: 32 + -56 = -24
-24n = -24

Divide each side by '-24'.
n = 1

Simplifying
n = 1

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