-4(6+r)+3(6-5r)=32

Solution for -4(6+r)+3(6-5r)=32 equation:

Simplifying
-4(6 + r) + 3(6 + -5r) = 32
(6 * -4 + r * -4) + 3(6 + -5r) = 32
(-24 + -4r) + 3(6 + -5r) = 32
-24 + -4r + (6 * 3 + -5r * 3) = 32
-24 + -4r + (18 + -15r) = 32

Reorder the terms:
-24 + 18 + -4r + -15r = 32

Combine like terms: -24 + 18 = -6
-6 + -4r + -15r = 32

Combine like terms: -4r + -15r = -19r
-6 + -19r = 32

Solving
-6 + -19r = 32

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 + -19r = 32 + 6

Combine like terms: -6 + 6 = 0
0 + -19r = 32 + 6
-19r = 32 + 6

Combine like terms: 32 + 6 = 38
-19r = 38

Divide each side by '-19'.
r = -2

Simplifying
r = -2