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Simplifying 0.5w + 5 = 1.5w Reorder the terms: 5 + 0.5w = 1.5w Solving 5 + 0.5w = 1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5w' to each side of the equation. 5 + 0.5w + -1.5w = 1.5w + -1.5w Combine like terms: 0.5w + -1.5w = -1w 5 + -1w = 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 5 + -1w = 0.0 Add '-5' to each side of the equation. 5 + -5 + -1w = 0.0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0.0 + -5 -1w = 0.0 + -5 Combine like terms: 0.0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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