-12(n-1)=2(-12-2n)-5n

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Solution for -12(n-1)=2(-12-2n)-5n equation:


Simplifying
-12(n + -1) = 2(-12 + -2n) + -5n

Reorder the terms:
-12(-1 + n) = 2(-12 + -2n) + -5n
(-1 * -12 + n * -12) = 2(-12 + -2n) + -5n
(12 + -12n) = 2(-12 + -2n) + -5n
12 + -12n = (-12 * 2 + -2n * 2) + -5n
12 + -12n = (-24 + -4n) + -5n

Combine like terms: -4n + -5n = -9n
12 + -12n = -24 + -9n

Solving
12 + -12n = -24 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
12 + -12n + 9n = -24 + -9n + 9n

Combine like terms: -12n + 9n = -3n
12 + -3n = -24 + -9n + 9n

Combine like terms: -9n + 9n = 0
12 + -3n = -24 + 0
12 + -3n = -24

Add '-12' to each side of the equation.
12 + -12 + -3n = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -3n = -24 + -12
-3n = -24 + -12

Combine like terms: -24 + -12 = -36
-3n = -36

Divide each side by '-3'.
n = 12

Simplifying
n = 12

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