-6+2r=3(r-1)

Solution for -6+2r=3(r-1) equation:

Simplifying
-6 + 2r = 3(r + -1)

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

Solving
-6 + 2r = -3 + 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.
-6 + 2r + -3r = -3 + 3r + -3r

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

Combine like terms: 3r + -3r = 0
-6 + -1r = -3 + 0
-6 + -1r = -3

Add '6' to each side of the equation.
-6 + 6 + -1r = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -1r = -3 + 6
-1r = -3 + 6

Combine like terms: -3 + 6 = 3
-1r = 3

Divide each side by '-1'.
r = -3

Simplifying
r = -3