12(3n-7)+8=-2(4-3n)

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Solution for 12(3n-7)+8=-2(4-3n) equation:


Simplifying
12(3n + -7) + 8 = -2(4 + -3n)

Reorder the terms:
12(-7 + 3n) + 8 = -2(4 + -3n)
(-7 * 12 + 3n * 12) + 8 = -2(4 + -3n)
(-84 + 36n) + 8 = -2(4 + -3n)

Reorder the terms:
-84 + 8 + 36n = -2(4 + -3n)

Combine like terms: -84 + 8 = -76
-76 + 36n = -2(4 + -3n)
-76 + 36n = (4 * -2 + -3n * -2)
-76 + 36n = (-8 + 6n)

Solving
-76 + 36n = -8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-76 + 36n + -6n = -8 + 6n + -6n

Combine like terms: 36n + -6n = 30n
-76 + 30n = -8 + 6n + -6n

Combine like terms: 6n + -6n = 0
-76 + 30n = -8 + 0
-76 + 30n = -8

Add '76' to each side of the equation.
-76 + 76 + 30n = -8 + 76

Combine like terms: -76 + 76 = 0
0 + 30n = -8 + 76
30n = -8 + 76

Combine like terms: -8 + 76 = 68
30n = 68

Divide each side by '30'.
n = 2.266666667

Simplifying
n = 2.266666667

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