10=10m-46+4m

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Solution for 10=10m-46+4m equation:


Simplifying
10 = 10m + -46 + 4m

Reorder the terms:
10 = -46 + 10m + 4m

Combine like terms: 10m + 4m = 14m
10 = -46 + 14m

Solving
10 = -46 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
10 + -14m = -46 + 14m + -14m

Combine like terms: 14m + -14m = 0
10 + -14m = -46 + 0
10 + -14m = -46

Add '-10' to each side of the equation.
10 + -10 + -14m = -46 + -10

Combine like terms: 10 + -10 = 0
0 + -14m = -46 + -10
-14m = -46 + -10

Combine like terms: -46 + -10 = -56
-14m = -56

Divide each side by '-14'.
m = 4

Simplifying
m = 4

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