2(m+5)-2=2m+9+m

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Solution for 2(m+5)-2=2m+9+m equation:


Simplifying
2(m + 5) + -2 = 2m + 9 + m

Reorder the terms:
2(5 + m) + -2 = 2m + 9 + m
(5 * 2 + m * 2) + -2 = 2m + 9 + m
(10 + 2m) + -2 = 2m + 9 + m

Reorder the terms:
10 + -2 + 2m = 2m + 9 + m

Combine like terms: 10 + -2 = 8
8 + 2m = 2m + 9 + m

Reorder the terms:
8 + 2m = 9 + 2m + m

Combine like terms: 2m + m = 3m
8 + 2m = 9 + 3m

Solving
8 + 2m = 9 + 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 + 2m + -3m = 9 + 3m + -3m

Combine like terms: 2m + -3m = -1m
8 + -1m = 9 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + -1m = 9 + 0
8 + -1m = 9

Add '-8' to each side of the equation.
8 + -8 + -1m = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 9 + -8
-1m = 9 + -8

Combine like terms: 9 + -8 = 1
-1m = 1

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

Simplifying
m = -1

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