12-(4m+7)=2+3m-18

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Solution for 12-(4m+7)=2+3m-18 equation:


Simplifying
12 + -1(4m + 7) = 2 + 3m + -18

Reorder the terms:
12 + -1(7 + 4m) = 2 + 3m + -18
12 + (7 * -1 + 4m * -1) = 2 + 3m + -18
12 + (-7 + -4m) = 2 + 3m + -18

Combine like terms: 12 + -7 = 5
5 + -4m = 2 + 3m + -18

Reorder the terms:
5 + -4m = 2 + -18 + 3m

Combine like terms: 2 + -18 = -16
5 + -4m = -16 + 3m

Solving
5 + -4m = -16 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
5 + -4m + -3m = -16 + 3m + -3m

Combine like terms: -4m + -3m = -7m
5 + -7m = -16 + 3m + -3m

Combine like terms: 3m + -3m = 0
5 + -7m = -16 + 0
5 + -7m = -16

Add '-5' to each side of the equation.
5 + -5 + -7m = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -7m = -16 + -5
-7m = -16 + -5

Combine like terms: -16 + -5 = -21
-7m = -21

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

Simplifying
m = 3

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