5m-6+12m+10=55

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Solution for 5m-6+12m+10=55 equation:


Simplifying
5m + -6 + 12m + 10 = 55

Reorder the terms:
-6 + 10 + 5m + 12m = 55

Combine like terms: -6 + 10 = 4
4 + 5m + 12m = 55

Combine like terms: 5m + 12m = 17m
4 + 17m = 55

Solving
4 + 17m = 55

Solving for variable 'm'.

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

Add '-4' to each side of the equation.
4 + -4 + 17m = 55 + -4

Combine like terms: 4 + -4 = 0
0 + 17m = 55 + -4
17m = 55 + -4

Combine like terms: 55 + -4 = 51
17m = 51

Divide each side by '17'.
m = 3

Simplifying
m = 3

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