3(w-5)-6=-33

Solution for 3(w-5)-6=-33 equation:

Simplifying
3(w + -5) + -6 = -33

Reorder the terms:
3(-5 + w) + -6 = -33
(-5 * 3 + w * 3) + -6 = -33
(-15 + 3w) + -6 = -33

Reorder the terms:
-15 + -6 + 3w = -33

Combine like terms: -15 + -6 = -21
-21 + 3w = -33

Solving
-21 + 3w = -33

Solving for variable 'w'.

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

Add '21' to each side of the equation.
-21 + 21 + 3w = -33 + 21

Combine like terms: -21 + 21 = 0
0 + 3w = -33 + 21
3w = -33 + 21

Combine like terms: -33 + 21 = -12
3w = -12

Divide each side by '3'.
w = -4

Simplifying
w = -4