3(m+1.5)=1.5(2n+3)

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

Simplifying
3(m + 1.5) = 1.5(2n + 3)

Reorder the terms:
3(1.5 + m) = 1.5(2n + 3)
(1.5 * 3 + m * 3) = 1.5(2n + 3)
(4.5 + 3m) = 1.5(2n + 3)

Reorder the terms:
4.5 + 3m = 1.5(3 + 2n)
4.5 + 3m = (3 * 1.5 + 2n * 1.5)
4.5 + 3m = (4.5 + 3n)

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 3m = 4.5 + -4.5 + 3n

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3m = 4.5 + -4.5 + 3n
3m = 4.5 + -4.5 + 3n

Combine like terms: 4.5 + -4.5 = 0.0
3m = 0.0 + 3n
3m = 3n

Solving
3m = 3n

Solving for variable 'm'.

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

Divide each side by '3'.
m = n

Simplifying
m = n