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Simplifying 8(w + 3) + -5w = 33 Reorder the terms: 8(3 + w) + -5w = 33 (3 * 8 + w * 8) + -5w = 33 (24 + 8w) + -5w = 33 Combine like terms: 8w + -5w = 3w 24 + 3w = 33 Solving 24 + 3w = 33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 3w = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 3w = 33 + -24 3w = 33 + -24 Combine like terms: 33 + -24 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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