6n-4(-8+4n)=8(1-2n)

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Solution for 6n-4(-8+4n)=8(1-2n) equation: 


Simplifying
6n + -4(-8 + 4n) = 8(1 + -2n)
6n + (-8 * -4 + 4n * -4) = 8(1 + -2n)
6n + (32 + -16n) = 8(1 + -2n)

Reorder the terms:
32 + 6n + -16n = 8(1 + -2n)

Combine like terms: 6n + -16n = -10n
32 + -10n = 8(1 + -2n)
32 + -10n = (1 * 8 + -2n * 8)
32 + -10n = (8 + -16n)

Solving
32 + -10n = 8 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
32 + -10n + 16n = 8 + -16n + 16n

Combine like terms: -10n + 16n = 6n
32 + 6n = 8 + -16n + 16n

Combine like terms: -16n + 16n = 0
32 + 6n = 8 + 0
32 + 6n = 8

Add '-32' to each side of the equation.
32 + -32 + 6n = 8 + -32

Combine like terms: 32 + -32 = 0
0 + 6n = 8 + -32
6n = 8 + -32

Combine like terms: 8 + -32 = -24
6n = -24

Divide each side by '6'.
n = -4

Simplifying
n = -4

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