15-(3m+6)=2+4m-14

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Solution for 15-(3m+6)=2+4m-14 equation: 


Simplifying
15 + -1(3m + 6) = 2 + 4m + -14

Reorder the terms:
15 + -1(6 + 3m) = 2 + 4m + -14
15 + (6 * -1 + 3m * -1) = 2 + 4m + -14
15 + (-6 + -3m) = 2 + 4m + -14

Combine like terms: 15 + -6 = 9
9 + -3m = 2 + 4m + -14

Reorder the terms:
9 + -3m = 2 + -14 + 4m

Combine like terms: 2 + -14 = -12
9 + -3m = -12 + 4m

Solving
9 + -3m = -12 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
9 + -3m + -4m = -12 + 4m + -4m

Combine like terms: -3m + -4m = -7m
9 + -7m = -12 + 4m + -4m

Combine like terms: 4m + -4m = 0
9 + -7m = -12 + 0
9 + -7m = -12

Add '-9' to each side of the equation.
9 + -9 + -7m = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -7m = -12 + -9
-7m = -12 + -9

Combine like terms: -12 + -9 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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