5r-9(r-8)-20+2r=

Solution for 5r-9(r-8)-20+2r= equation:

Simplifying
5r + -9(r + -8) + -20 + 2r = 0

Reorder the terms:
5r + -9(-8 + r) + -20 + 2r = 0
5r + (-8 * -9 + r * -9) + -20 + 2r = 0
5r + (72 + -9r) + -20 + 2r = 0

Reorder the terms:
72 + -20 + 5r + -9r + 2r = 0

Combine like terms: 72 + -20 = 52
52 + 5r + -9r + 2r = 0

Combine like terms: 5r + -9r = -4r
52 + -4r + 2r = 0

Combine like terms: -4r + 2r = -2r
52 + -2r = 0

Solving
52 + -2r = 0

Solving for variable 'r'.

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

Add '-52' to each side of the equation.
52 + -52 + -2r = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -2r = 0 + -52
-2r = 0 + -52

Combine like terms: 0 + -52 = -52
-2r = -52

Divide each side by '-2'.
r = 26

Simplifying
r = 26