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Simplifying 0.8w + -0.5w + 0.2 = 5 Reorder the terms: 0.2 + 0.8w + -0.5w = 5 Combine like terms: 0.8w + -0.5w = 0.3w 0.2 + 0.3w = 5 Solving 0.2 + 0.3w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.3w = 5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.3w = 5 + -0.2 0.3w = 5 + -0.2 Combine like terms: 5 + -0.2 = 4.8 0.3w = 4.8 Divide each side by '0.3'. w = 16 Simplifying w = 16
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