3(m+1.5)=1.3(2m+3)

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Solution for 3(m+1.5)=1.3(2m+3) equation: 


Simplifying
3(m + 1.5) = 1.3(2m + 3)

Reorder the terms:
3(1.5 + m) = 1.3(2m + 3)
(1.5 * 3 + m * 3) = 1.3(2m + 3)
(4.5 + 3m) = 1.3(2m + 3)

Reorder the terms:
4.5 + 3m = 1.3(3 + 2m)
4.5 + 3m = (3 * 1.3 + 2m * 1.3)
4.5 + 3m = (3.9 + 2.6m)

Solving
4.5 + 3m = 3.9 + 2.6m

Solving for variable 'm'.

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

Add '-2.6m' to each side of the equation.
4.5 + 3m + -2.6m = 3.9 + 2.6m + -2.6m

Combine like terms: 3m + -2.6m = 0.4m
4.5 + 0.4m = 3.9 + 2.6m + -2.6m

Combine like terms: 2.6m + -2.6m = 0.0
4.5 + 0.4m = 3.9 + 0.0
4.5 + 0.4m = 3.9

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.4m = 3.9 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.4m = 3.9 + -4.5
0.4m = 3.9 + -4.5

Combine like terms: 3.9 + -4.5 = -0.6
0.4m = -0.6

Divide each side by '0.4'.
m = -1.5

Simplifying
m = -1.5

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