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Simplifying 5(4 + 0.5w) + 7w = 1 (4 * 5 + 0.5w * 5) + 7w = 1 (20 + 2.5w) + 7w = 1 Combine like terms: 2.5w + 7w = 9.5w 20 + 9.5w = 1 Solving 20 + 9.5w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9.5w = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 9.5w = 1 + -20 9.5w = 1 + -20 Combine like terms: 1 + -20 = -19 9.5w = -19 Divide each side by '9.5'. w = -2 Simplifying w = -2
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