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Simplifying 5w + -3 = 0.5w + 15 Reorder the terms: -3 + 5w = 0.5w + 15 Reorder the terms: -3 + 5w = 15 + 0.5w Solving -3 + 5w = 15 + 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. -3 + 5w + -0.5w = 15 + 0.5w + -0.5w Combine like terms: 5w + -0.5w = 4.5w -3 + 4.5w = 15 + 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 -3 + 4.5w = 15 + 0.0 -3 + 4.5w = 15 Add '3' to each side of the equation. -3 + 3 + 4.5w = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 4.5w = 15 + 3 4.5w = 15 + 3 Combine like terms: 15 + 3 = 18 4.5w = 18 Divide each side by '4.5'. w = 4 Simplifying w = 4
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