2(3r-3)-r=2r-3(r-8)

Solution for 2(3r-3)-r=2r-3(r-8) equation:

Simplifying
2(3r + -3) + -1r = 2r + -3(r + -8)

Reorder the terms:
2(-3 + 3r) + -1r = 2r + -3(r + -8)
(-3 * 2 + 3r * 2) + -1r = 2r + -3(r + -8)
(-6 + 6r) + -1r = 2r + -3(r + -8)

Combine like terms: 6r + -1r = 5r
-6 + 5r = 2r + -3(r + -8)

Reorder the terms:
-6 + 5r = 2r + -3(-8 + r)
-6 + 5r = 2r + (-8 * -3 + r * -3)
-6 + 5r = 2r + (24 + -3r)

Reorder the terms:
-6 + 5r = 24 + 2r + -3r

Combine like terms: 2r + -3r = -1r
-6 + 5r = 24 + -1r

Solving
-6 + 5r = 24 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-6 + 5r + r = 24 + -1r + r

Combine like terms: 5r + r = 6r
-6 + 6r = 24 + -1r + r

Combine like terms: -1r + r = 0
-6 + 6r = 24 + 0
-6 + 6r = 24

Add '6' to each side of the equation.
-6 + 6 + 6r = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 6r = 24 + 6
6r = 24 + 6

Combine like terms: 24 + 6 = 30
6r = 30

Divide each side by '6'.
r = 5

Simplifying
r = 5