3m+4=4m-6

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Solution for 3m+4=4m-6 equation:


Simplifying
3m + 4 = 4m + -6

Reorder the terms:
4 + 3m = 4m + -6

Reorder the terms:
4 + 3m = -6 + 4m

Solving
4 + 3m = -6 + 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.
4 + 3m + -4m = -6 + 4m + -4m

Combine like terms: 3m + -4m = -1m
4 + -1m = -6 + 4m + -4m

Combine like terms: 4m + -4m = 0
4 + -1m = -6 + 0
4 + -1m = -6

Add '-4' to each side of the equation.
4 + -4 + -1m = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = -6 + -4
-1m = -6 + -4

Combine like terms: -6 + -4 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10

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