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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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