15-(3m+7)=4+4m-17

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Solution for 15-(3m+7)=4+4m-17 equation: 


Simplifying
15 + -1(3m + 7) = 4 + 4m + -17

Reorder the terms:
15 + -1(7 + 3m) = 4 + 4m + -17
15 + (7 * -1 + 3m * -1) = 4 + 4m + -17
15 + (-7 + -3m) = 4 + 4m + -17

Combine like terms: 15 + -7 = 8
8 + -3m = 4 + 4m + -17

Reorder the terms:
8 + -3m = 4 + -17 + 4m

Combine like terms: 4 + -17 = -13
8 + -3m = -13 + 4m

Solving
8 + -3m = -13 + 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.
8 + -3m + -4m = -13 + 4m + -4m

Combine like terms: -3m + -4m = -7m
8 + -7m = -13 + 4m + -4m

Combine like terms: 4m + -4m = 0
8 + -7m = -13 + 0
8 + -7m = -13

Add '-8' to each side of the equation.
8 + -8 + -7m = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = -13 + -8
-7m = -13 + -8

Combine like terms: -13 + -8 = -21
-7m = -21

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

Simplifying
m = 3

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