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

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


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

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

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

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

Combine like terms: -3m + -3m = -6m
-4.5 + -6m = 4.5 + 3m + -3m

Combine like terms: 3m + -3m = 0
-4.5 + -6m = 4.5 + 0
-4.5 + -6m = 4.5

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -6m = 4.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -6m = 4.5 + 4.5
-6m = 4.5 + 4.5

Combine like terms: 4.5 + 4.5 = 9
-6m = 9

Divide each side by '-6'.
m = -1.5

Simplifying
m = -1.5

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