19-(2m+3)=3+3m-17

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Solution for 19-(2m+3)=3+3m-17 equation:


Simplifying
19 + -1(2m + 3) = 3 + 3m + -17

Reorder the terms:
19 + -1(3 + 2m) = 3 + 3m + -17
19 + (3 * -1 + 2m * -1) = 3 + 3m + -17
19 + (-3 + -2m) = 3 + 3m + -17

Combine like terms: 19 + -3 = 16
16 + -2m = 3 + 3m + -17

Reorder the terms:
16 + -2m = 3 + -17 + 3m

Combine like terms: 3 + -17 = -14
16 + -2m = -14 + 3m

Solving
16 + -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.
16 + -2m + -3m = -14 + 3m + -3m

Combine like terms: -2m + -3m = -5m
16 + -5m = -14 + 3m + -3m

Combine like terms: 3m + -3m = 0
16 + -5m = -14 + 0
16 + -5m = -14

Add '-16' to each side of the equation.
16 + -16 + -5m = -14 + -16

Combine like terms: 16 + -16 = 0
0 + -5m = -14 + -16
-5m = -14 + -16

Combine like terms: -14 + -16 = -30
-5m = -30

Divide each side by '-5'.
m = 6

Simplifying
m = 6

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