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Simplifying 0.5w + 3 = 0.6w Reorder the terms: 3 + 0.5w = 0.6w Solving 3 + 0.5w = 0.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.6w' to each side of the equation. 3 + 0.5w + -0.6w = 0.6w + -0.6w Combine like terms: 0.5w + -0.6w = -0.1w 3 + -0.1w = 0.6w + -0.6w Combine like terms: 0.6w + -0.6w = 0.0 3 + -0.1w = 0.0 Add '-3' to each side of the equation. 3 + -3 + -0.1w = 0.0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.1w = 0.0 + -3 -0.1w = 0.0 + -3 Combine like terms: 0.0 + -3 = -3 -0.1w = -3 Divide each side by '-0.1'. w = 30 Simplifying w = 30
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