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Simplifying 0.5w + -1 = 1.5w Reorder the terms: -1 + 0.5w = 1.5w Solving -1 + 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. -1 + 0.5w + -1.5w = 1.5w + -1.5w Combine like terms: 0.5w + -1.5w = -1w -1 + -1w = 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 -1 + -1w = 0.0 Add '1' to each side of the equation. -1 + 1 + -1w = 0.0 + 1 Combine like terms: -1 + 1 = 0 0 + -1w = 0.0 + 1 -1w = 0.0 + 1 Combine like terms: 0.0 + 1 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1
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