19-(4m+7)=2+3m-11

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Solution for 19-(4m+7)=2+3m-11 equation: 


Simplifying
19 + -1(4m + 7) = 2 + 3m + -11

Reorder the terms:
19 + -1(7 + 4m) = 2 + 3m + -11
19 + (7 * -1 + 4m * -1) = 2 + 3m + -11
19 + (-7 + -4m) = 2 + 3m + -11

Combine like terms: 19 + -7 = 12
12 + -4m = 2 + 3m + -11

Reorder the terms:
12 + -4m = 2 + -11 + 3m

Combine like terms: 2 + -11 = -9
12 + -4m = -9 + 3m

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

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

Combine like terms: 3m + -3m = 0
12 + -7m = -9 + 0
12 + -7m = -9

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

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

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

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

Simplifying
m = 3

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