4m-1(8-m)=6-2m

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Solution for 4m-1(8-m)=6-2m equation:


Simplifying
4m + -1(8 + -1m) = 6 + -2m
4m + (8 * -1 + -1m * -1) = 6 + -2m
4m + (-8 + 1m) = 6 + -2m

Reorder the terms:
-8 + 4m + 1m = 6 + -2m

Combine like terms: 4m + 1m = 5m
-8 + 5m = 6 + -2m

Solving
-8 + 5m = 6 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-8 + 5m + 2m = 6 + -2m + 2m

Combine like terms: 5m + 2m = 7m
-8 + 7m = 6 + -2m + 2m

Combine like terms: -2m + 2m = 0
-8 + 7m = 6 + 0
-8 + 7m = 6

Add '8' to each side of the equation.
-8 + 8 + 7m = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 7m = 6 + 8
7m = 6 + 8

Combine like terms: 6 + 8 = 14
7m = 14

Divide each side by '7'.
m = 2

Simplifying
m = 2

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