3(4r+2)-4(r-6)=

Solution for 3(4r+2)-4(r-6)= equation:

Simplifying
3(4r + 2) + -4(r + -6) = 0

Reorder the terms:
3(2 + 4r) + -4(r + -6) = 0
(2 * 3 + 4r * 3) + -4(r + -6) = 0
(6 + 12r) + -4(r + -6) = 0

Reorder the terms:
6 + 12r + -4(-6 + r) = 0
6 + 12r + (-6 * -4 + r * -4) = 0
6 + 12r + (24 + -4r) = 0

Reorder the terms:
6 + 24 + 12r + -4r = 0

Combine like terms: 6 + 24 = 30
30 + 12r + -4r = 0

Combine like terms: 12r + -4r = 8r
30 + 8r = 0

Solving
30 + 8r = 0

Solving for variable 'r'.

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

Add '-30' to each side of the equation.
30 + -30 + 8r = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 8r = 0 + -30
8r = 0 + -30

Combine like terms: 0 + -30 = -30
8r = -30

Divide each side by '8'.
r = -3.75

Simplifying
r = -3.75