2(1.5m+3)=3(a+1)

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

Simplifying
2(1.5m + 3) = 3(a + 1)

Reorder the terms:
2(3 + 1.5m) = 3(a + 1)
(3 * 2 + 1.5m * 2) = 3(a + 1)
(6 + 3m) = 3(a + 1)

Reorder the terms:
6 + 3m = 3(1 + a)
6 + 3m = (1 * 3 + a * 3)
6 + 3m = (3 + 3a)

Solving
6 + 3m = 3 + 3a

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 + 3m = 3 + -6 + 3a

Combine like terms: 6 + -6 = 0
0 + 3m = 3 + -6 + 3a
3m = 3 + -6 + 3a

Combine like terms: 3 + -6 = -3
3m = -3 + 3a

Divide each side by '3'.
m = -1 + a

Simplifying
m = -1 + a