-3(2r+8)+6(-5r-8)=0

Solution for -3(2r+8)+6(-5r-8)=0 equation:

Simplifying
-3(2r + 8) + 6(-5r + -8) = 0

Reorder the terms:
-3(8 + 2r) + 6(-5r + -8) = 0
(8 * -3 + 2r * -3) + 6(-5r + -8) = 0
(-24 + -6r) + 6(-5r + -8) = 0

Reorder the terms:
-24 + -6r + 6(-8 + -5r) = 0
-24 + -6r + (-8 * 6 + -5r * 6) = 0
-24 + -6r + (-48 + -30r) = 0

Reorder the terms:
-24 + -48 + -6r + -30r = 0

Combine like terms: -24 + -48 = -72
-72 + -6r + -30r = 0

Combine like terms: -6r + -30r = -36r
-72 + -36r = 0

Solving
-72 + -36r = 0

Solving for variable 'r'.

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

Add '72' to each side of the equation.
-72 + 72 + -36r = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -36r = 0 + 72
-36r = 0 + 72

Combine like terms: 0 + 72 = 72
-36r = 72

Divide each side by '-36'.
r = -2

Simplifying
r = -2