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) = 0

Reorder the terms:
3(1.5 + m) + 1.5(2m + 3) = 0
(1.5 * 3 + m * 3) + 1.5(2m + 3) = 0
(4.5 + 3m) + 1.5(2m + 3) = 0

Reorder the terms:
4.5 + 3m + 1.5(3 + 2m) = 0
4.5 + 3m + (3 * 1.5 + 2m * 1.5) = 0
4.5 + 3m + (4.5 + 3m) = 0

Reorder the terms:
4.5 + 4.5 + 3m + 3m = 0

Combine like terms: 4.5 + 4.5 = 9
9 + 3m + 3m = 0

Combine like terms: 3m + 3m = 6m
9 + 6m = 0

Solving
9 + 6m = 0

Solving for variable 'm'.

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

Add '-9' to each side of the equation.
9 + -9 + 6m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 6m = 0 + -9
6m = 0 + -9

Combine like terms: 0 + -9 = -9
6m = -9

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

Simplifying
m = -1.5

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