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

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


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

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

Reorder the terms for easier multiplication:
3 * 1.5(1.5 + m) = 1.5(2m + 3)

Multiply 3 * 1.5
4.5(1.5 + m) = 1.5(2m + 3)
(1.5 * 4.5 + m * 4.5) = 1.5(2m + 3)
(6.75 + 4.5m) = 1.5(2m + 3)

Reorder the terms:
6.75 + 4.5m = 1.5(3 + 2m)
6.75 + 4.5m = (3 * 1.5 + 2m * 1.5)
6.75 + 4.5m = (4.5 + 3m)

Solving
6.75 + 4.5m = 4.5 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6.75 + 4.5m + -3m = 4.5 + 3m + -3m

Combine like terms: 4.5m + -3m = 1.5m
6.75 + 1.5m = 4.5 + 3m + -3m

Combine like terms: 3m + -3m = 0
6.75 + 1.5m = 4.5 + 0
6.75 + 1.5m = 4.5

Add '-6.75' to each side of the equation.
6.75 + -6.75 + 1.5m = 4.5 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + 1.5m = 4.5 + -6.75
1.5m = 4.5 + -6.75

Combine like terms: 4.5 + -6.75 = -2.25
1.5m = -2.25

Divide each side by '1.5'.
m = -1.5

Simplifying
m = -1.5

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