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Simplifying -8w + 3(w + 5) = -35 Reorder the terms: -8w + 3(5 + w) = -35 -8w + (5 * 3 + w * 3) = -35 -8w + (15 + 3w) = -35 Reorder the terms: 15 + -8w + 3w = -35 Combine like terms: -8w + 3w = -5w 15 + -5w = -35 Solving 15 + -5w = -35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -5w = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = -35 + -15 -5w = -35 + -15 Combine like terms: -35 + -15 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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