19-(2m+8)=2+3m-16

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Solution for 19-(2m+8)=2+3m-16 equation: 


Simplifying
19 + -1(2m + 8) = 2 + 3m + -16

Reorder the terms:
19 + -1(8 + 2m) = 2 + 3m + -16
19 + (8 * -1 + 2m * -1) = 2 + 3m + -16
19 + (-8 + -2m) = 2 + 3m + -16

Combine like terms: 19 + -8 = 11
11 + -2m = 2 + 3m + -16

Reorder the terms:
11 + -2m = 2 + -16 + 3m

Combine like terms: 2 + -16 = -14
11 + -2m = -14 + 3m

Solving
11 + -2m = -14 + 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.
11 + -2m + -3m = -14 + 3m + -3m

Combine like terms: -2m + -3m = -5m
11 + -5m = -14 + 3m + -3m

Combine like terms: 3m + -3m = 0
11 + -5m = -14 + 0
11 + -5m = -14

Add '-11' to each side of the equation.
11 + -11 + -5m = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -5m = -14 + -11
-5m = -14 + -11

Combine like terms: -14 + -11 = -25
-5m = -25

Divide each side by '-5'.
m = 5

Simplifying
m = 5

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