2(3r+6)-4(r-9)=

Solution for 2(3r+6)-4(r-9)= equation:

Simplifying
2(3r + 6) + -4(r + -9) = 0

Reorder the terms:
2(6 + 3r) + -4(r + -9) = 0
(6 * 2 + 3r * 2) + -4(r + -9) = 0
(12 + 6r) + -4(r + -9) = 0

Reorder the terms:
12 + 6r + -4(-9 + r) = 0
12 + 6r + (-9 * -4 + r * -4) = 0
12 + 6r + (36 + -4r) = 0

Reorder the terms:
12 + 36 + 6r + -4r = 0

Combine like terms: 12 + 36 = 48
48 + 6r + -4r = 0

Combine like terms: 6r + -4r = 2r
48 + 2r = 0

Solving
48 + 2r = 0

Solving for variable 'r'.

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

Add '-48' to each side of the equation.
48 + -48 + 2r = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 2r = 0 + -48
2r = 0 + -48

Combine like terms: 0 + -48 = -48
2r = -48

Divide each side by '2'.
r = -24

Simplifying
r = -24