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Simplifying 0.8w + -0.4 + 0.1w = 4 Reorder the terms: -0.4 + 0.8w + 0.1w = 4 Combine like terms: 0.8w + 0.1w = 0.9w -0.4 + 0.9w = 4 Solving -0.4 + 0.9w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.9w = 4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.9w = 4 + 0.4 0.9w = 4 + 0.4 Combine like terms: 4 + 0.4 = 4.4 0.9w = 4.4 Divide each side by '0.9'. w = 4.888888889 Simplifying w = 4.888888889
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