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

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


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

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

Combine like terms: 13 + -3 = 10
10 + -2m = 3 + 2m + -13

Reorder the terms:
10 + -2m = 3 + -13 + 2m

Combine like terms: 3 + -13 = -10
10 + -2m = -10 + 2m

Solving
10 + -2m = -10 + 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.
10 + -2m + -2m = -10 + 2m + -2m

Combine like terms: -2m + -2m = -4m
10 + -4m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
10 + -4m = -10 + 0
10 + -4m = -10

Add '-10' to each side of the equation.
10 + -10 + -4m = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -4m = -10 + -10
-4m = -10 + -10

Combine like terms: -10 + -10 = -20
-4m = -20

Divide each side by '-4'.
m = 5

Simplifying
m = 5

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