4(m+3)+11=2(3m+6)+13

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Solution for 4(m+3)+11=2(3m+6)+13 equation: 


Simplifying
4(m + 3) + 11 = 2(3m + 6) + 13

Reorder the terms:
4(3 + m) + 11 = 2(3m + 6) + 13
(3 * 4 + m * 4) + 11 = 2(3m + 6) + 13
(12 + 4m) + 11 = 2(3m + 6) + 13

Reorder the terms:
12 + 11 + 4m = 2(3m + 6) + 13

Combine like terms: 12 + 11 = 23
23 + 4m = 2(3m + 6) + 13

Reorder the terms:
23 + 4m = 2(6 + 3m) + 13
23 + 4m = (6 * 2 + 3m * 2) + 13
23 + 4m = (12 + 6m) + 13

Reorder the terms:
23 + 4m = 12 + 13 + 6m

Combine like terms: 12 + 13 = 25
23 + 4m = 25 + 6m

Solving
23 + 4m = 25 + 6m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-6m' to each side of the equation.
23 + 4m + -6m = 25 + 6m + -6m

Combine like terms: 4m + -6m = -2m
23 + -2m = 25 + 6m + -6m

Combine like terms: 6m + -6m = 0
23 + -2m = 25 + 0
23 + -2m = 25

Add '-23' to each side of the equation.
23 + -23 + -2m = 25 + -23

Combine like terms: 23 + -23 = 0
0 + -2m = 25 + -23
-2m = 25 + -23

Combine like terms: 25 + -23 = 2
-2m = 2

Divide each side by '-2'.
m = -1

Simplifying
m = -1

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