2(4r+5)-4(5r-6)-9r=

Solution for 2(4r+5)-4(5r-6)-9r= equation:

Simplifying
2(4r + 5) + -4(5r + -6) + -9r = 0

Reorder the terms:
2(5 + 4r) + -4(5r + -6) + -9r = 0
(5 * 2 + 4r * 2) + -4(5r + -6) + -9r = 0
(10 + 8r) + -4(5r + -6) + -9r = 0

Reorder the terms:
10 + 8r + -4(-6 + 5r) + -9r = 0
10 + 8r + (-6 * -4 + 5r * -4) + -9r = 0
10 + 8r + (24 + -20r) + -9r = 0

Reorder the terms:
10 + 24 + 8r + -20r + -9r = 0

Combine like terms: 10 + 24 = 34
34 + 8r + -20r + -9r = 0

Combine like terms: 8r + -20r = -12r
34 + -12r + -9r = 0

Combine like terms: -12r + -9r = -21r
34 + -21r = 0

Solving
34 + -21r = 0

Solving for variable 'r'.

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

Add '-34' to each side of the equation.
34 + -34 + -21r = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -21r = 0 + -34
-21r = 0 + -34

Combine like terms: 0 + -34 = -34
-21r = -34

Divide each side by '-21'.
r = 1.619047619

Simplifying
r = 1.619047619