(r-1.5)6=4.5r

Solution for (r-1.5)6=4.5r equation:

Simplifying
(r + -1.5) * 6 = 4.5r

Reorder the terms:
(-1.5 + r) * 6 = 4.5r

Reorder the terms for easier multiplication:
6(-1.5 + r) = 4.5r
(-1.5 * 6 + r * 6) = 4.5r
(-9 + 6r) = 4.5r

Solving
-9 + 6r = 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.
-9 + 6r + -4.5r = 4.5r + -4.5r

Combine like terms: 6r + -4.5r = 1.5r
-9 + 1.5r = 4.5r + -4.5r

Combine like terms: 4.5r + -4.5r = 0.0
-9 + 1.5r = 0.0

Add '9' to each side of the equation.
-9 + 9 + 1.5r = 0.0 + 9

Combine like terms: -9 + 9 = 0
0 + 1.5r = 0.0 + 9
1.5r = 0.0 + 9

Combine like terms: 0.0 + 9 = 9
1.5r = 9

Divide each side by '1.5'.
r = 6

Simplifying
r = 6