-8w-33=7(w+6)

Solution for -8w-33=7(w+6) equation:

Simplifying
-8w + -33 = 7(w + 6)

Reorder the terms:
-33 + -8w = 7(w + 6)

Reorder the terms:
-33 + -8w = 7(6 + w)
-33 + -8w = (6 * 7 + w * 7)
-33 + -8w = (42 + 7w)

Solving
-33 + -8w = 42 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-33 + -8w + -7w = 42 + 7w + -7w

Combine like terms: -8w + -7w = -15w
-33 + -15w = 42 + 7w + -7w

Combine like terms: 7w + -7w = 0
-33 + -15w = 42 + 0
-33 + -15w = 42

Add '33' to each side of the equation.
-33 + 33 + -15w = 42 + 33

Combine like terms: -33 + 33 = 0
0 + -15w = 42 + 33
-15w = 42 + 33

Combine like terms: 42 + 33 = 75
-15w = 75

Divide each side by '-15'.
w = -5

Simplifying
w = -5