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Simplifying w + 2 = 0.5w + 9 Reorder the terms: 2 + w = 0.5w + 9 Reorder the terms: 2 + w = 9 + 0.5w Solving 2 + w = 9 + 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. 2 + w + -0.5w = 9 + 0.5w + -0.5w Combine like terms: w + -0.5w = 0.5w 2 + 0.5w = 9 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 2 + 0.5w = 9 + 0.0 2 + 0.5w = 9 Add '-2' to each side of the equation. 2 + -2 + 0.5w = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5w = 9 + -2 0.5w = 9 + -2 Combine like terms: 9 + -2 = 7 0.5w = 7 Divide each side by '0.5'. w = 14 Simplifying w = 14
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