6(r-3)=-6+8r

Solution for 6(r-3)=-6+8r equation:

Simplifying
6(r + -3) = -6 + 8r

Reorder the terms:
6(-3 + r) = -6 + 8r
(-3 * 6 + r * 6) = -6 + 8r
(-18 + 6r) = -6 + 8r

Solving
-18 + 6r = -6 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
-18 + 6r + -8r = -6 + 8r + -8r

Combine like terms: 6r + -8r = -2r
-18 + -2r = -6 + 8r + -8r

Combine like terms: 8r + -8r = 0
-18 + -2r = -6 + 0
-18 + -2r = -6

Add '18' to each side of the equation.
-18 + 18 + -2r = -6 + 18

Combine like terms: -18 + 18 = 0
0 + -2r = -6 + 18
-2r = -6 + 18

Combine like terms: -6 + 18 = 12
-2r = 12

Divide each side by '-2'.
r = -6

Simplifying
r = -6