3m+52=9m-2

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Solution for 3m+52=9m-2 equation:


Simplifying
3m + 52 = 9m + -2

Reorder the terms:
52 + 3m = 9m + -2

Reorder the terms:
52 + 3m = -2 + 9m

Solving
52 + 3m = -2 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
52 + 3m + -9m = -2 + 9m + -9m

Combine like terms: 3m + -9m = -6m
52 + -6m = -2 + 9m + -9m

Combine like terms: 9m + -9m = 0
52 + -6m = -2 + 0
52 + -6m = -2

Add '-52' to each side of the equation.
52 + -52 + -6m = -2 + -52

Combine like terms: 52 + -52 = 0
0 + -6m = -2 + -52
-6m = -2 + -52

Combine like terms: -2 + -52 = -54
-6m = -54

Divide each side by '-6'.
m = 9

Simplifying
m = 9

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