-6w-33=3(w-8)

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Solution for -6w-33=3(w-8) equation: 


Simplifying
-6w + -33 = 3(w + -8)

Reorder the terms:
-33 + -6w = 3(w + -8)

Reorder the terms:
-33 + -6w = 3(-8 + w)
-33 + -6w = (-8 * 3 + w * 3)
-33 + -6w = (-24 + 3w)

Solving
-33 + -6w = -24 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-33 + -6w + -3w = -24 + 3w + -3w

Combine like terms: -6w + -3w = -9w
-33 + -9w = -24 + 3w + -3w

Combine like terms: 3w + -3w = 0
-33 + -9w = -24 + 0
-33 + -9w = -24

Add '33' to each side of the equation.
-33 + 33 + -9w = -24 + 33

Combine like terms: -33 + 33 = 0
0 + -9w = -24 + 33
-9w = -24 + 33

Combine like terms: -24 + 33 = 9
-9w = 9

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

Simplifying
w = -1

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