2(3r+8)-3(r-9)=

Solution for 2(3r+8)-3(r-9)= equation:

Simplifying
2(3r + 8) + -3(r + -9) = 0

Reorder the terms:
2(8 + 3r) + -3(r + -9) = 0
(8 * 2 + 3r * 2) + -3(r + -9) = 0
(16 + 6r) + -3(r + -9) = 0

Reorder the terms:
16 + 6r + -3(-9 + r) = 0
16 + 6r + (-9 * -3 + r * -3) = 0
16 + 6r + (27 + -3r) = 0

Reorder the terms:
16 + 27 + 6r + -3r = 0

Combine like terms: 16 + 27 = 43
43 + 6r + -3r = 0

Combine like terms: 6r + -3r = 3r
43 + 3r = 0

Solving
43 + 3r = 0

Solving for variable 'r'.

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

Add '-43' to each side of the equation.
43 + -43 + 3r = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 3r = 0 + -43
3r = 0 + -43

Combine like terms: 0 + -43 = -43
3r = -43

Divide each side by '3'.
r = -14.33333333

Simplifying
r = -14.33333333