13-(4m+5)=5+3m-11

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Solution for 13-(4m+5)=5+3m-11 equation: 


Simplifying
13 + -1(4m + 5) = 5 + 3m + -11

Reorder the terms:
13 + -1(5 + 4m) = 5 + 3m + -11
13 + (5 * -1 + 4m * -1) = 5 + 3m + -11
13 + (-5 + -4m) = 5 + 3m + -11

Combine like terms: 13 + -5 = 8
8 + -4m = 5 + 3m + -11

Reorder the terms:
8 + -4m = 5 + -11 + 3m

Combine like terms: 5 + -11 = -6
8 + -4m = -6 + 3m

Solving
8 + -4m = -6 + 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.
8 + -4m + -3m = -6 + 3m + -3m

Combine like terms: -4m + -3m = -7m
8 + -7m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + -7m = -6 + 0
8 + -7m = -6

Add '-8' to each side of the equation.
8 + -8 + -7m = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = -6 + -8
-7m = -6 + -8

Combine like terms: -6 + -8 = -14
-7m = -14

Divide each side by '-7'.
m = 2

Simplifying
m = 2

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