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

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


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

Reorder the terms:
0.3(1.5 + m) = 1.5(2m + 3)
(1.5 * 0.3 + m * 0.3) = 1.5(2m + 3)
(0.45 + 0.3m) = 1.5(2m + 3)

Reorder the terms:
0.45 + 0.3m = 1.5(3 + 2m)
0.45 + 0.3m = (3 * 1.5 + 2m * 1.5)
0.45 + 0.3m = (4.5 + 3m)

Solving
0.45 + 0.3m = 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.
0.45 + 0.3m + -3m = 4.5 + 3m + -3m

Combine like terms: 0.3m + -3m = -2.7m
0.45 + -2.7m = 4.5 + 3m + -3m

Combine like terms: 3m + -3m = 0
0.45 + -2.7m = 4.5 + 0
0.45 + -2.7m = 4.5

Add '-0.45' to each side of the equation.
0.45 + -0.45 + -2.7m = 4.5 + -0.45

Combine like terms: 0.45 + -0.45 = 0.00
0.00 + -2.7m = 4.5 + -0.45
-2.7m = 4.5 + -0.45

Combine like terms: 4.5 + -0.45 = 4.05
-2.7m = 4.05

Divide each side by '-2.7'.
m = -1.5

Simplifying
m = -1.5

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