3m+10=4m-10

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Solution for 3m+10=4m-10 equation:


Simplifying
3m + 10 = 4m + -10

Reorder the terms:
10 + 3m = 4m + -10

Reorder the terms:
10 + 3m = -10 + 4m

Solving
10 + 3m = -10 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
10 + 3m + -4m = -10 + 4m + -4m

Combine like terms: 3m + -4m = -1m
10 + -1m = -10 + 4m + -4m

Combine like terms: 4m + -4m = 0
10 + -1m = -10 + 0
10 + -1m = -10

Add '-10' to each side of the equation.
10 + -10 + -1m = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = -10 + -10
-1m = -10 + -10

Combine like terms: -10 + -10 = -20
-1m = -20

Divide each side by '-1'.
m = 20

Simplifying
m = 20

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