46=3(2+4m)-2m

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Solution for 46=3(2+4m)-2m equation:


Simplifying
46 = 3(2 + 4m) + -2m
46 = (2 * 3 + 4m * 3) + -2m
46 = (6 + 12m) + -2m

Combine like terms: 12m + -2m = 10m
46 = 6 + 10m

Solving
46 = 6 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
46 + -10m = 6 + 10m + -10m

Combine like terms: 10m + -10m = 0
46 + -10m = 6 + 0
46 + -10m = 6

Add '-46' to each side of the equation.
46 + -46 + -10m = 6 + -46

Combine like terms: 46 + -46 = 0
0 + -10m = 6 + -46
-10m = 6 + -46

Combine like terms: 6 + -46 = -40
-10m = -40

Divide each side by '-10'.
m = 4

Simplifying
m = 4

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