-8(r+7)+3(r-4)=-33

Solution for -8(r+7)+3(r-4)=-33 equation:

Simplifying
-8(r + 7) + 3(r + -4) = -33

Reorder the terms:
-8(7 + r) + 3(r + -4) = -33
(7 * -8 + r * -8) + 3(r + -4) = -33
(-56 + -8r) + 3(r + -4) = -33

Reorder the terms:
-56 + -8r + 3(-4 + r) = -33
-56 + -8r + (-4 * 3 + r * 3) = -33
-56 + -8r + (-12 + 3r) = -33

Reorder the terms:
-56 + -12 + -8r + 3r = -33

Combine like terms: -56 + -12 = -68
-68 + -8r + 3r = -33

Combine like terms: -8r + 3r = -5r
-68 + -5r = -33

Solving
-68 + -5r = -33

Solving for variable 'r'.

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

Add '68' to each side of the equation.
-68 + 68 + -5r = -33 + 68

Combine like terms: -68 + 68 = 0
0 + -5r = -33 + 68
-5r = -33 + 68

Combine like terms: -33 + 68 = 35
-5r = 35

Divide each side by '-5'.
r = -7

Simplifying
r = -7