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

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

Simplifying
3(2r + -6) + -2(r + 2) = 0

Reorder the terms:
3(-6 + 2r) + -2(r + 2) = 0
(-6 * 3 + 2r * 3) + -2(r + 2) = 0
(-18 + 6r) + -2(r + 2) = 0

Reorder the terms:
-18 + 6r + -2(2 + r) = 0
-18 + 6r + (2 * -2 + r * -2) = 0
-18 + 6r + (-4 + -2r) = 0

Reorder the terms:
-18 + -4 + 6r + -2r = 0

Combine like terms: -18 + -4 = -22
-22 + 6r + -2r = 0

Combine like terms: 6r + -2r = 4r
-22 + 4r = 0

Solving
-22 + 4r = 0

Solving for variable 'r'.

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

Add '22' to each side of the equation.
-22 + 22 + 4r = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 4r = 0 + 22
4r = 0 + 22

Combine like terms: 0 + 22 = 22
4r = 22

Divide each side by '4'.
r = 5.5

Simplifying
r = 5.5