12(2n+2)+3n=3(5n-12)+2

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Solution for 12(2n+2)+3n=3(5n-12)+2 equation: 


Simplifying
12(2n + 2) + 3n = 3(5n + -12) + 2

Reorder the terms:
12(2 + 2n) + 3n = 3(5n + -12) + 2
(2 * 12 + 2n * 12) + 3n = 3(5n + -12) + 2
(24 + 24n) + 3n = 3(5n + -12) + 2

Combine like terms: 24n + 3n = 27n
24 + 27n = 3(5n + -12) + 2

Reorder the terms:
24 + 27n = 3(-12 + 5n) + 2
24 + 27n = (-12 * 3 + 5n * 3) + 2
24 + 27n = (-36 + 15n) + 2

Reorder the terms:
24 + 27n = -36 + 2 + 15n

Combine like terms: -36 + 2 = -34
24 + 27n = -34 + 15n

Solving
24 + 27n = -34 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
24 + 27n + -15n = -34 + 15n + -15n

Combine like terms: 27n + -15n = 12n
24 + 12n = -34 + 15n + -15n

Combine like terms: 15n + -15n = 0
24 + 12n = -34 + 0
24 + 12n = -34

Add '-24' to each side of the equation.
24 + -24 + 12n = -34 + -24

Combine like terms: 24 + -24 = 0
0 + 12n = -34 + -24
12n = -34 + -24

Combine like terms: -34 + -24 = -58
12n = -58

Divide each side by '12'.
n = -4.833333333

Simplifying
n = -4.833333333

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