2m+6=6m-15

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Solution for 2m+6=6m-15 equation:


Simplifying
2m + 6 = 6m + -15

Reorder the terms:
6 + 2m = 6m + -15

Reorder the terms:
6 + 2m = -15 + 6m

Solving
6 + 2m = -15 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
6 + 2m + -6m = -15 + 6m + -6m

Combine like terms: 2m + -6m = -4m
6 + -4m = -15 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -4m = -15 + 0
6 + -4m = -15

Add '-6' to each side of the equation.
6 + -6 + -4m = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = -15 + -6
-4m = -15 + -6

Combine like terms: -15 + -6 = -21
-4m = -21

Divide each side by '-4'.
m = 5.25

Simplifying
m = 5.25

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