12-(2m+7)=4+4m-17

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Solution for 12-(2m+7)=4+4m-17 equation:


Simplifying
12 + -1(2m + 7) = 4 + 4m + -17

Reorder the terms:
12 + -1(7 + 2m) = 4 + 4m + -17
12 + (7 * -1 + 2m * -1) = 4 + 4m + -17
12 + (-7 + -2m) = 4 + 4m + -17

Combine like terms: 12 + -7 = 5
5 + -2m = 4 + 4m + -17

Reorder the terms:
5 + -2m = 4 + -17 + 4m

Combine like terms: 4 + -17 = -13
5 + -2m = -13 + 4m

Solving
5 + -2m = -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.
5 + -2m + -4m = -13 + 4m + -4m

Combine like terms: -2m + -4m = -6m
5 + -6m = -13 + 4m + -4m

Combine like terms: 4m + -4m = 0
5 + -6m = -13 + 0
5 + -6m = -13

Add '-5' to each side of the equation.
5 + -5 + -6m = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -6m = -13 + -5
-6m = -13 + -5

Combine like terms: -13 + -5 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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