-6(-8n+1)-2(-6+4n)=4n-1+7n+7

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Solution for -6(-8n+1)-2(-6+4n)=4n-1+7n+7 equation:


Simplifying
-6(-8n + 1) + -2(-6 + 4n) = 4n + -1 + 7n + 7

Reorder the terms:
-6(1 + -8n) + -2(-6 + 4n) = 4n + -1 + 7n + 7
(1 * -6 + -8n * -6) + -2(-6 + 4n) = 4n + -1 + 7n + 7
(-6 + 48n) + -2(-6 + 4n) = 4n + -1 + 7n + 7
-6 + 48n + (-6 * -2 + 4n * -2) = 4n + -1 + 7n + 7
-6 + 48n + (12 + -8n) = 4n + -1 + 7n + 7

Reorder the terms:
-6 + 12 + 48n + -8n = 4n + -1 + 7n + 7

Combine like terms: -6 + 12 = 6
6 + 48n + -8n = 4n + -1 + 7n + 7

Combine like terms: 48n + -8n = 40n
6 + 40n = 4n + -1 + 7n + 7

Reorder the terms:
6 + 40n = -1 + 7 + 4n + 7n

Combine like terms: -1 + 7 = 6
6 + 40n = 6 + 4n + 7n

Combine like terms: 4n + 7n = 11n
6 + 40n = 6 + 11n

Add '-6' to each side of the equation.
6 + -6 + 40n = 6 + -6 + 11n

Combine like terms: 6 + -6 = 0
0 + 40n = 6 + -6 + 11n
40n = 6 + -6 + 11n

Combine like terms: 6 + -6 = 0
40n = 0 + 11n
40n = 11n

Solving
40n = 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
40n + -11n = 11n + -11n

Combine like terms: 40n + -11n = 29n
29n = 11n + -11n

Combine like terms: 11n + -11n = 0
29n = 0

Divide each side by '29'.
n = 0

Simplifying
n = 0

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