5m-9=2m-4+m+5+m+11+2m

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Solution for 5m-9=2m-4+m+5+m+11+2m equation:


Simplifying
5m + -9 = 2m + -4 + m + 5 + m + 11 + 2m

Reorder the terms:
-9 + 5m = 2m + -4 + m + 5 + m + 11 + 2m

Reorder the terms:
-9 + 5m = -4 + 5 + 11 + 2m + m + m + 2m

Combine like terms: -4 + 5 = 1
-9 + 5m = 1 + 11 + 2m + m + m + 2m

Combine like terms: 1 + 11 = 12
-9 + 5m = 12 + 2m + m + m + 2m

Combine like terms: 2m + m = 3m
-9 + 5m = 12 + 3m + m + 2m

Combine like terms: 3m + m = 4m
-9 + 5m = 12 + 4m + 2m

Combine like terms: 4m + 2m = 6m
-9 + 5m = 12 + 6m

Solving
-9 + 5m = 12 + 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.
-9 + 5m + -6m = 12 + 6m + -6m

Combine like terms: 5m + -6m = -1m
-9 + -1m = 12 + 6m + -6m

Combine like terms: 6m + -6m = 0
-9 + -1m = 12 + 0
-9 + -1m = 12

Add '9' to each side of the equation.
-9 + 9 + -1m = 12 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 12 + 9
-1m = 12 + 9

Combine like terms: 12 + 9 = 21
-1m = 21

Divide each side by '-1'.
m = -21

Simplifying
m = -21

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