4-2(-4n-4)=7(8n-3)-6

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Solution for 4-2(-4n-4)=7(8n-3)-6 equation:


Simplifying
4 + -2(-4n + -4) = 7(8n + -3) + -6

Reorder the terms:
4 + -2(-4 + -4n) = 7(8n + -3) + -6
4 + (-4 * -2 + -4n * -2) = 7(8n + -3) + -6
4 + (8 + 8n) = 7(8n + -3) + -6

Combine like terms: 4 + 8 = 12
12 + 8n = 7(8n + -3) + -6

Reorder the terms:
12 + 8n = 7(-3 + 8n) + -6
12 + 8n = (-3 * 7 + 8n * 7) + -6
12 + 8n = (-21 + 56n) + -6

Reorder the terms:
12 + 8n = -21 + -6 + 56n

Combine like terms: -21 + -6 = -27
12 + 8n = -27 + 56n

Solving
12 + 8n = -27 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
12 + 8n + -56n = -27 + 56n + -56n

Combine like terms: 8n + -56n = -48n
12 + -48n = -27 + 56n + -56n

Combine like terms: 56n + -56n = 0
12 + -48n = -27 + 0
12 + -48n = -27

Add '-12' to each side of the equation.
12 + -12 + -48n = -27 + -12

Combine like terms: 12 + -12 = 0
0 + -48n = -27 + -12
-48n = -27 + -12

Combine like terms: -27 + -12 = -39
-48n = -39

Divide each side by '-48'.
n = 0.8125

Simplifying
n = 0.8125

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