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Simplifying 1.5w + 0.5 = w + 4 Reorder the terms: 0.5 + 1.5w = w + 4 Reorder the terms: 0.5 + 1.5w = 4 + w Solving 0.5 + 1.5w = 4 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 0.5 + 1.5w + -1w = 4 + w + -1w Combine like terms: 1.5w + -1w = 0.5w 0.5 + 0.5w = 4 + w + -1w Combine like terms: w + -1w = 0 0.5 + 0.5w = 4 + 0 0.5 + 0.5w = 4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.5w = 4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5w = 4 + -0.5 0.5w = 4 + -0.5 Combine like terms: 4 + -0.5 = 3.5 0.5w = 3.5 Divide each side by '0.5'. w = 7 Simplifying w = 7
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