.5r-3=3(4-1.5r)

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Solution for .5r-3=3(4-1.5r) equation:


Simplifying
0.5r + -3 = 3(4 + -1.5r)

Reorder the terms:
-3 + 0.5r = 3(4 + -1.5r)
-3 + 0.5r = (4 * 3 + -1.5r * 3)
-3 + 0.5r = (12 + -4.5r)

Solving
-3 + 0.5r = 12 + -4.5r

Solving for variable 'r'.

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

Add '4.5r' to each side of the equation.
-3 + 0.5r + 4.5r = 12 + -4.5r + 4.5r

Combine like terms: 0.5r + 4.5r = 5r
-3 + 5r = 12 + -4.5r + 4.5r

Combine like terms: -4.5r + 4.5r = 0.0
-3 + 5r = 12 + 0.0
-3 + 5r = 12

Add '3' to each side of the equation.
-3 + 3 + 5r = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 5r = 12 + 3
5r = 12 + 3

Combine like terms: 12 + 3 = 15
5r = 15

Divide each side by '5'.
r = 3

Simplifying
r = 3

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