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Simplifying 0.5w + 5.1 = 8w Reorder the terms: 5.1 + 0.5w = 8w Solving 5.1 + 0.5w = 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 5.1 + 0.5w + -8w = 8w + -8w Combine like terms: 0.5w + -8w = -7.5w 5.1 + -7.5w = 8w + -8w Combine like terms: 8w + -8w = 0 5.1 + -7.5w = 0 Add '-5.1' to each side of the equation. 5.1 + -5.1 + -7.5w = 0 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -7.5w = 0 + -5.1 -7.5w = 0 + -5.1 Combine like terms: 0 + -5.1 = -5.1 -7.5w = -5.1 Divide each side by '-7.5'. w = 0.68 Simplifying w = 0.68
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