2m-13=18m+27

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Solution for 2m-13=18m+27 equation:


Simplifying
2m + -13 = 18m + 27

Reorder the terms:
-13 + 2m = 18m + 27

Reorder the terms:
-13 + 2m = 27 + 18m

Solving
-13 + 2m = 27 + 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
-13 + 2m + -18m = 27 + 18m + -18m

Combine like terms: 2m + -18m = -16m
-13 + -16m = 27 + 18m + -18m

Combine like terms: 18m + -18m = 0
-13 + -16m = 27 + 0
-13 + -16m = 27

Add '13' to each side of the equation.
-13 + 13 + -16m = 27 + 13

Combine like terms: -13 + 13 = 0
0 + -16m = 27 + 13
-16m = 27 + 13

Combine like terms: 27 + 13 = 40
-16m = 40

Divide each side by '-16'.
m = -2.5

Simplifying
m = -2.5

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