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Simplifying 5(w + 7) = 40 Reorder the terms: 5(7 + w) = 40 (7 * 5 + w * 5) = 40 (35 + 5w) = 40 Solving 35 + 5w = 40 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 = 40 + -35 Combine like terms: 35 + -35 = 0 0 + 5w = 40 + -35 5w = 40 + -35 Combine like terms: 40 + -35 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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