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Simplifying 7(w + 5) + -2w = 15 Reorder the terms: 7(5 + w) + -2w = 15 (5 * 7 + w * 7) + -2w = 15 (35 + 7w) + -2w = 15 Combine like terms: 7w + -2w = 5w 35 + 5w = 15 Solving 35 + 5w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 5w = 15 + -35 Combine like terms: 35 + -35 = 0 0 + 5w = 15 + -35 5w = 15 + -35 Combine like terms: 15 + -35 = -20 5w = -20 Divide each side by '5'. w = -4 Simplifying w = -4
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