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Simplifying 7(w + 2) + 0.5w = 5 Reorder the terms: 7(2 + w) + 0.5w = 5 (2 * 7 + w * 7) + 0.5w = 5 (14 + 7w) + 0.5w = 5 Combine like terms: 7w + 0.5w = 7.5w 14 + 7.5w = 5 Solving 14 + 7.5w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7.5w = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 7.5w = 5 + -14 7.5w = 5 + -14 Combine like terms: 5 + -14 = -9 7.5w = -9 Divide each side by '7.5'. w = -1.2 Simplifying w = -1.2
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