-3(2+5r)-6(-r+6)=-33

Solution for -3(2+5r)-6(-r+6)=-33 equation:

Simplifying
-3(2 + 5r) + -6(-1r + 6) = -33
(2 * -3 + 5r * -3) + -6(-1r + 6) = -33
(-6 + -15r) + -6(-1r + 6) = -33

Reorder the terms:
-6 + -15r + -6(6 + -1r) = -33
-6 + -15r + (6 * -6 + -1r * -6) = -33
-6 + -15r + (-36 + 6r) = -33

Reorder the terms:
-6 + -36 + -15r + 6r = -33

Combine like terms: -6 + -36 = -42
-42 + -15r + 6r = -33

Combine like terms: -15r + 6r = -9r
-42 + -9r = -33

Solving
-42 + -9r = -33

Solving for variable 'r'.

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

Add '42' to each side of the equation.
-42 + 42 + -9r = -33 + 42

Combine like terms: -42 + 42 = 0
0 + -9r = -33 + 42
-9r = -33 + 42

Combine like terms: -33 + 42 = 9
-9r = 9

Divide each side by '-9'.
r = -1

Simplifying
r = -1