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Simplifying -8w + -33 = 5(w + -4) Reorder the terms: -33 + -8w = 5(w + -4) Reorder the terms: -33 + -8w = 5(-4 + w) -33 + -8w = (-4 * 5 + w * 5) -33 + -8w = (-20 + 5w) Solving -33 + -8w = -20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -33 + -8w + -5w = -20 + 5w + -5w Combine like terms: -8w + -5w = -13w -33 + -13w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 -33 + -13w = -20 + 0 -33 + -13w = -20 Add '33' to each side of the equation. -33 + 33 + -13w = -20 + 33 Combine like terms: -33 + 33 = 0 0 + -13w = -20 + 33 -13w = -20 + 33 Combine like terms: -20 + 33 = 13 -13w = 13 Divide each side by '-13'. w = -1 Simplifying w = -1
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