19-(2m+3)=5+2m-13

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Solution for 19-(2m+3)=5+2m-13 equation: 


Simplifying
19 + -1(2m + 3) = 5 + 2m + -13

Reorder the terms:
19 + -1(3 + 2m) = 5 + 2m + -13
19 + (3 * -1 + 2m * -1) = 5 + 2m + -13
19 + (-3 + -2m) = 5 + 2m + -13

Combine like terms: 19 + -3 = 16
16 + -2m = 5 + 2m + -13

Reorder the terms:
16 + -2m = 5 + -13 + 2m

Combine like terms: 5 + -13 = -8
16 + -2m = -8 + 2m

Solving
16 + -2m = -8 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
16 + -2m + -2m = -8 + 2m + -2m

Combine like terms: -2m + -2m = -4m
16 + -4m = -8 + 2m + -2m

Combine like terms: 2m + -2m = 0
16 + -4m = -8 + 0
16 + -4m = -8

Add '-16' to each side of the equation.
16 + -16 + -4m = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -4m = -8 + -16
-4m = -8 + -16

Combine like terms: -8 + -16 = -24
-4m = -24

Divide each side by '-4'.
m = 6

Simplifying
m = 6

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