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Simplifying 33 = 5(w + 3) + -8w Reorder the terms: 33 = 5(3 + w) + -8w 33 = (3 * 5 + w * 5) + -8w 33 = (15 + 5w) + -8w Combine like terms: 5w + -8w = -3w 33 = 15 + -3w Solving 33 = 15 + -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 + 3w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 33 + 3w = 15 + 0 33 + 3w = 15 Add '-33' to each side of the equation. 33 + -33 + 3w = 15 + -33 Combine like terms: 33 + -33 = 0 0 + 3w = 15 + -33 3w = 15 + -33 Combine like terms: 15 + -33 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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