.5r-3=12-1.5r

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Solution for .5r-3=12-1.5r equation:


Simplifying
0.5r + -3 = 12 + -1.5r

Reorder the terms:
-3 + 0.5r = 12 + -1.5r

Solving
-3 + 0.5r = 12 + -1.5r

Solving for variable 'r'.

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

Add '1.5r' to each side of the equation.
-3 + 0.5r + 1.5r = 12 + -1.5r + 1.5r

Combine like terms: 0.5r + 1.5r = 2r
-3 + 2r = 12 + -1.5r + 1.5r

Combine like terms: -1.5r + 1.5r = 0.0
-3 + 2r = 12 + 0.0
-3 + 2r = 12

Add '3' to each side of the equation.
-3 + 3 + 2r = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 2r = 12 + 3
2r = 12 + 3

Combine like terms: 12 + 3 = 15
2r = 15

Divide each side by '2'.
r = 7.5

Simplifying
r = 7.5

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