5m-6=2.5m-42

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Solution for 5m-6=2.5m-42 equation:


Simplifying
5m + -6 = 2.5m + -42

Reorder the terms:
-6 + 5m = 2.5m + -42

Reorder the terms:
-6 + 5m = -42 + 2.5m

Solving
-6 + 5m = -42 + 2.5m

Solving for variable 'm'.

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

Add '-2.5m' to each side of the equation.
-6 + 5m + -2.5m = -42 + 2.5m + -2.5m

Combine like terms: 5m + -2.5m = 2.5m
-6 + 2.5m = -42 + 2.5m + -2.5m

Combine like terms: 2.5m + -2.5m = 0.0
-6 + 2.5m = -42 + 0.0
-6 + 2.5m = -42

Add '6' to each side of the equation.
-6 + 6 + 2.5m = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 2.5m = -42 + 6
2.5m = -42 + 6

Combine like terms: -42 + 6 = -36
2.5m = -36

Divide each side by '2.5'.
m = -14.4

Simplifying
m = -14.4

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