4.5*(r-4)=(r-1.5)*-3

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Solution for 4.5*(r-4)=(r-1.5)*-3 equation: 


Simplifying
4.5(r + -4) = (r + -1.5) * -3

Reorder the terms:
4.5(-4 + r) = (r + -1.5) * -3
(-4 * 4.5 + r * 4.5) = (r + -1.5) * -3
(-18 + 4.5r) = (r + -1.5) * -3

Reorder the terms:
-18 + 4.5r = (-1.5 + r) * -3

Reorder the terms for easier multiplication:
-18 + 4.5r = -3(-1.5 + r)
-18 + 4.5r = (-1.5 * -3 + r * -3)
-18 + 4.5r = (4.5 + -3r)

Solving
-18 + 4.5r = 4.5 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-18 + 4.5r + 3r = 4.5 + -3r + 3r

Combine like terms: 4.5r + 3r = 7.5r
-18 + 7.5r = 4.5 + -3r + 3r

Combine like terms: -3r + 3r = 0
-18 + 7.5r = 4.5 + 0
-18 + 7.5r = 4.5

Add '18' to each side of the equation.
-18 + 18 + 7.5r = 4.5 + 18

Combine like terms: -18 + 18 = 0
0 + 7.5r = 4.5 + 18
7.5r = 4.5 + 18

Combine like terms: 4.5 + 18 = 22.5
7.5r = 22.5

Divide each side by '7.5'.
r = 3

Simplifying
r = 3

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