16-(2m+3)=2+2m-13

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Solution for 16-(2m+3)=2+2m-13 equation:


Simplifying
16 + -1(2m + 3) = 2 + 2m + -13

Reorder the terms:
16 + -1(3 + 2m) = 2 + 2m + -13
16 + (3 * -1 + 2m * -1) = 2 + 2m + -13
16 + (-3 + -2m) = 2 + 2m + -13

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

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

Combine like terms: 2 + -13 = -11
13 + -2m = -11 + 2m

Solving
13 + -2m = -11 + 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.
13 + -2m + -2m = -11 + 2m + -2m

Combine like terms: -2m + -2m = -4m
13 + -4m = -11 + 2m + -2m

Combine like terms: 2m + -2m = 0
13 + -4m = -11 + 0
13 + -4m = -11

Add '-13' to each side of the equation.
13 + -13 + -4m = -11 + -13

Combine like terms: 13 + -13 = 0
0 + -4m = -11 + -13
-4m = -11 + -13

Combine like terms: -11 + -13 = -24
-4m = -24

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

Simplifying
m = 6

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