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Simplifying 0.8w + -0.5 + 0.2w = 5 Reorder the terms: -0.5 + 0.8w + 0.2w = 5 Combine like terms: 0.8w + 0.2w = 1w -0.5 + 1w = 5 Solving -0.5 + 1w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 1w = 5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1w = 5 + 0.5 1w = 5 + 0.5 Combine like terms: 5 + 0.5 = 5.5 1w = 5.5 Divide each side by '1'. w = 5.5 Simplifying w = 5.5
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