-4(-4n-3)=5(-8+2n)+4

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Solution for -4(-4n-3)=5(-8+2n)+4 equation: 


Simplifying
-4(-4n + -3) = 5(-8 + 2n) + 4

Reorder the terms:
-4(-3 + -4n) = 5(-8 + 2n) + 4
(-3 * -4 + -4n * -4) = 5(-8 + 2n) + 4
(12 + 16n) = 5(-8 + 2n) + 4
12 + 16n = (-8 * 5 + 2n * 5) + 4
12 + 16n = (-40 + 10n) + 4

Reorder the terms:
12 + 16n = -40 + 4 + 10n

Combine like terms: -40 + 4 = -36
12 + 16n = -36 + 10n

Solving
12 + 16n = -36 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
12 + 16n + -10n = -36 + 10n + -10n

Combine like terms: 16n + -10n = 6n
12 + 6n = -36 + 10n + -10n

Combine like terms: 10n + -10n = 0
12 + 6n = -36 + 0
12 + 6n = -36

Add '-12' to each side of the equation.
12 + -12 + 6n = -36 + -12

Combine like terms: 12 + -12 = 0
0 + 6n = -36 + -12
6n = -36 + -12

Combine like terms: -36 + -12 = -48
6n = -48

Divide each side by '6'.
n = -8

Simplifying
n = -8

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