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Simplifying 3(w + 7) + 5w = -35 Reorder the terms: 3(7 + w) + 5w = -35 (7 * 3 + w * 3) + 5w = -35 (21 + 3w) + 5w = -35 Combine like terms: 3w + 5w = 8w 21 + 8w = -35 Solving 21 + 8w = -35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 8w = -35 + -21 Combine like terms: 21 + -21 = 0 0 + 8w = -35 + -21 8w = -35 + -21 Combine like terms: -35 + -21 = -56 8w = -56 Divide each side by '8'. w = -7 Simplifying w = -7
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