4(r+8)+9(r-6)=

Solution for 4(r+8)+9(r-6)= equation:

Simplifying
4(r + 8) + 9(r + -6) = 0

Reorder the terms:
4(8 + r) + 9(r + -6) = 0
(8 * 4 + r * 4) + 9(r + -6) = 0
(32 + 4r) + 9(r + -6) = 0

Reorder the terms:
32 + 4r + 9(-6 + r) = 0
32 + 4r + (-6 * 9 + r * 9) = 0
32 + 4r + (-54 + 9r) = 0

Reorder the terms:
32 + -54 + 4r + 9r = 0

Combine like terms: 32 + -54 = -22
-22 + 4r + 9r = 0

Combine like terms: 4r + 9r = 13r
-22 + 13r = 0

Solving
-22 + 13r = 0

Solving for variable 'r'.

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

Add '22' to each side of the equation.
-22 + 22 + 13r = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 13r = 0 + 22
13r = 0 + 22

Combine like terms: 0 + 22 = 22
13r = 22

Divide each side by '13'.
r = 1.692307692

Simplifying
r = 1.692307692