-6(4n-4)=-(7n-2)+5

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Solution for -6(4n-4)=-(7n-2)+5 equation: 


Simplifying
-6(4n + -4) = -1(7n + -2) + 5

Reorder the terms:
-6(-4 + 4n) = -1(7n + -2) + 5
(-4 * -6 + 4n * -6) = -1(7n + -2) + 5
(24 + -24n) = -1(7n + -2) + 5

Reorder the terms:
24 + -24n = -1(-2 + 7n) + 5
24 + -24n = (-2 * -1 + 7n * -1) + 5
24 + -24n = (2 + -7n) + 5

Reorder the terms:
24 + -24n = 2 + 5 + -7n

Combine like terms: 2 + 5 = 7
24 + -24n = 7 + -7n

Solving
24 + -24n = 7 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
24 + -24n + 7n = 7 + -7n + 7n

Combine like terms: -24n + 7n = -17n
24 + -17n = 7 + -7n + 7n

Combine like terms: -7n + 7n = 0
24 + -17n = 7 + 0
24 + -17n = 7

Add '-24' to each side of the equation.
24 + -24 + -17n = 7 + -24

Combine like terms: 24 + -24 = 0
0 + -17n = 7 + -24
-17n = 7 + -24

Combine like terms: 7 + -24 = -17
-17n = -17

Divide each side by '-17'.
n = 1

Simplifying
n = 1

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