-3(r+1)-6(r+3)=33

Solution for -3(r+1)-6(r+3)=33 equation:

Simplifying
-3(r + 1) + -6(r + 3) = 33

Reorder the terms:
-3(1 + r) + -6(r + 3) = 33
(1 * -3 + r * -3) + -6(r + 3) = 33
(-3 + -3r) + -6(r + 3) = 33

Reorder the terms:
-3 + -3r + -6(3 + r) = 33
-3 + -3r + (3 * -6 + r * -6) = 33
-3 + -3r + (-18 + -6r) = 33

Reorder the terms:
-3 + -18 + -3r + -6r = 33

Combine like terms: -3 + -18 = -21
-21 + -3r + -6r = 33

Combine like terms: -3r + -6r = -9r
-21 + -9r = 33

Solving
-21 + -9r = 33

Solving for variable 'r'.

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

Add '21' to each side of the equation.
-21 + 21 + -9r = 33 + 21

Combine like terms: -21 + 21 = 0
0 + -9r = 33 + 21
-9r = 33 + 21

Combine like terms: 33 + 21 = 54
-9r = 54

Divide each side by '-9'.
r = -6

Simplifying
r = -6