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

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

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

Reorder the terms:
-6(9 + 4r) + 8(8r + 6) = 0
(9 * -6 + 4r * -6) + 8(8r + 6) = 0
(-54 + -24r) + 8(8r + 6) = 0

Reorder the terms:
-54 + -24r + 8(6 + 8r) = 0
-54 + -24r + (6 * 8 + 8r * 8) = 0
-54 + -24r + (48 + 64r) = 0

Reorder the terms:
-54 + 48 + -24r + 64r = 0

Combine like terms: -54 + 48 = -6
-6 + -24r + 64r = 0

Combine like terms: -24r + 64r = 40r
-6 + 40r = 0

Solving
-6 + 40r = 0

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + 40r = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 40r = 0 + 6
40r = 0 + 6

Combine like terms: 0 + 6 = 6
40r = 6

Divide each side by '40'.
r = 0.15

Simplifying
r = 0.15