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

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Solution for 39(m+1.5)=1.5(2m+3) equation: 


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

Reorder the terms:
39(1.5 + m) = 1.5(2m + 3)
(1.5 * 39 + m * 39) = 1.5(2m + 3)
(58.5 + 39m) = 1.5(2m + 3)

Reorder the terms:
58.5 + 39m = 1.5(3 + 2m)
58.5 + 39m = (3 * 1.5 + 2m * 1.5)
58.5 + 39m = (4.5 + 3m)

Solving
58.5 + 39m = 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.
58.5 + 39m + -3m = 4.5 + 3m + -3m

Combine like terms: 39m + -3m = 36m
58.5 + 36m = 4.5 + 3m + -3m

Combine like terms: 3m + -3m = 0
58.5 + 36m = 4.5 + 0
58.5 + 36m = 4.5

Add '-58.5' to each side of the equation.
58.5 + -58.5 + 36m = 4.5 + -58.5

Combine like terms: 58.5 + -58.5 = 0.0
0.0 + 36m = 4.5 + -58.5
36m = 4.5 + -58.5

Combine like terms: 4.5 + -58.5 = -54
36m = -54

Divide each side by '36'.
m = -1.5

Simplifying
m = -1.5

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