2m+20+3m-2=70-m+10

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Solution for 2m+20+3m-2=70-m+10 equation:


Simplifying
2m + 20 + 3m + -2 = 70 + -1m + 10

Reorder the terms:
20 + -2 + 2m + 3m = 70 + -1m + 10

Combine like terms: 20 + -2 = 18
18 + 2m + 3m = 70 + -1m + 10

Combine like terms: 2m + 3m = 5m
18 + 5m = 70 + -1m + 10

Reorder the terms:
18 + 5m = 70 + 10 + -1m

Combine like terms: 70 + 10 = 80
18 + 5m = 80 + -1m

Solving
18 + 5m = 80 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
18 + 5m + m = 80 + -1m + m

Combine like terms: 5m + m = 6m
18 + 6m = 80 + -1m + m

Combine like terms: -1m + m = 0
18 + 6m = 80 + 0
18 + 6m = 80

Add '-18' to each side of the equation.
18 + -18 + 6m = 80 + -18

Combine like terms: 18 + -18 = 0
0 + 6m = 80 + -18
6m = 80 + -18

Combine like terms: 80 + -18 = 62
6m = 62

Divide each side by '6'.
m = 10.33333333

Simplifying
m = 10.33333333

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