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Simplifying 5(w + 4 * 10) = 6 * 10 Multiply 4 * 10 5(w + 40) = 6 * 10 Reorder the terms: 5(40 + w) = 6 * 10 (40 * 5 + w * 5) = 6 * 10 (200 + 5w) = 6 * 10 Multiply 6 * 10 200 + 5w = 60 Solving 200 + 5w = 60 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 5w = 60 + -200 Combine like terms: 200 + -200 = 0 0 + 5w = 60 + -200 5w = 60 + -200 Combine like terms: 60 + -200 = -140 5w = -140 Divide each side by '5'. w = -28 Simplifying w = -28
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