2(3+1.5m)=3.5m-1

Solution for 2(3+1.5m)=3.5m-1 equation:

Simplifying
2(3 + 1.5m) = 3.5m + -1
(3 * 2 + 1.5m * 2) = 3.5m + -1
(6 + 3m) = 3.5m + -1

Reorder the terms:
6 + 3m = -1 + 3.5m

Solving
6 + 3m = -1 + 3.5m

Solving for variable 'm'.

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

Add '-3.5m' to each side of the equation.
6 + 3m + -3.5m = -1 + 3.5m + -3.5m

Combine like terms: 3m + -3.5m = -0.5m
6 + -0.5m = -1 + 3.5m + -3.5m

Combine like terms: 3.5m + -3.5m = 0.0
6 + -0.5m = -1 + 0.0
6 + -0.5m = -1

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 = -7
-0.5m = -7

Divide each side by '-0.5'.
m = 14

Simplifying
m = 14