13-(4m+5)=4+2m-14

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Solution for 13-(4m+5)=4+2m-14 equation:


Simplifying
13 + -1(4m + 5) = 4 + 2m + -14

Reorder the terms:
13 + -1(5 + 4m) = 4 + 2m + -14
13 + (5 * -1 + 4m * -1) = 4 + 2m + -14
13 + (-5 + -4m) = 4 + 2m + -14

Combine like terms: 13 + -5 = 8
8 + -4m = 4 + 2m + -14

Reorder the terms:
8 + -4m = 4 + -14 + 2m

Combine like terms: 4 + -14 = -10
8 + -4m = -10 + 2m

Solving
8 + -4m = -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.
8 + -4m + -2m = -10 + 2m + -2m

Combine like terms: -4m + -2m = -6m
8 + -6m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
8 + -6m = -10 + 0
8 + -6m = -10

Add '-8' to each side of the equation.
8 + -8 + -6m = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -6m = -10 + -8
-6m = -10 + -8

Combine like terms: -10 + -8 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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