-4(5-r)-3(r+1)=3(r-8)

Solution for -4(5-r)-3(r+1)=3(r-8) equation:

Simplifying
-4(5 + -1r) + -3(r + 1) = 3(r + -8)
(5 * -4 + -1r * -4) + -3(r + 1) = 3(r + -8)
(-20 + 4r) + -3(r + 1) = 3(r + -8)

Reorder the terms:
-20 + 4r + -3(1 + r) = 3(r + -8)
-20 + 4r + (1 * -3 + r * -3) = 3(r + -8)
-20 + 4r + (-3 + -3r) = 3(r + -8)

Reorder the terms:
-20 + -3 + 4r + -3r = 3(r + -8)

Combine like terms: -20 + -3 = -23
-23 + 4r + -3r = 3(r + -8)

Combine like terms: 4r + -3r = 1r
-23 + 1r = 3(r + -8)

Reorder the terms:
-23 + 1r = 3(-8 + r)
-23 + 1r = (-8 * 3 + r * 3)
-23 + 1r = (-24 + 3r)

Solving
-23 + 1r = -24 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-23 + 1r + -3r = -24 + 3r + -3r

Combine like terms: 1r + -3r = -2r
-23 + -2r = -24 + 3r + -3r

Combine like terms: 3r + -3r = 0
-23 + -2r = -24 + 0
-23 + -2r = -24

Add '23' to each side of the equation.
-23 + 23 + -2r = -24 + 23

Combine like terms: -23 + 23 = 0
0 + -2r = -24 + 23
-2r = -24 + 23

Combine like terms: -24 + 23 = -1
-2r = -1

Divide each side by '-2'.
r = 0.5

Simplifying
r = 0.5