.5m-2(.5m-3)=1

Solution for .5m-2(.5m-3)=1 equation:

Simplifying
0.5m + -2(0.5m + -3) = 1

Reorder the terms:
0.5m + -2(-3 + 0.5m) = 1
0.5m + (-3 * -2 + 0.5m * -2) = 1
0.5m + (6 + -1m) = 1

Reorder the terms:
6 + 0.5m + -1m = 1

Combine like terms: 0.5m + -1m = -0.5m
6 + -0.5m = 1

Solving
6 + -0.5m = 1

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + -0.5m = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -0.5m = 1 + -6
-0.5m = 1 + -6

Combine like terms: 1 + -6 = -5
-0.5m = -5

Divide each side by '-0.5'.
m = 10

Simplifying
m = 10