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

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

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

Reorder the terms:
2(6 + 4r) + -3(r + 3) = 0
(6 * 2 + 4r * 2) + -3(r + 3) = 0
(12 + 8r) + -3(r + 3) = 0

Reorder the terms:
12 + 8r + -3(3 + r) = 0
12 + 8r + (3 * -3 + r * -3) = 0
12 + 8r + (-9 + -3r) = 0

Reorder the terms:
12 + -9 + 8r + -3r = 0

Combine like terms: 12 + -9 = 3
3 + 8r + -3r = 0

Combine like terms: 8r + -3r = 5r
3 + 5r = 0

Solving
3 + 5r = 0

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + 5r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5r = 0 + -3
5r = 0 + -3

Combine like terms: 0 + -3 = -3
5r = -3

Divide each side by '5'.
r = -0.6

Simplifying
r = -0.6