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Simplifying 33 = -8w + 5(w + 6) Reorder the terms: 33 = -8w + 5(6 + w) 33 = -8w + (6 * 5 + w * 5) 33 = -8w + (30 + 5w) Reorder the terms: 33 = 30 + -8w + 5w Combine like terms: -8w + 5w = -3w 33 = 30 + -3w Solving 33 = 30 + -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 = 30 + -3w + 3w Combine like terms: -3w + 3w = 0 33 + 3w = 30 + 0 33 + 3w = 30 Add '-33' to each side of the equation. 33 + -33 + 3w = 30 + -33 Combine like terms: 33 + -33 = 0 0 + 3w = 30 + -33 3w = 30 + -33 Combine like terms: 30 + -33 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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