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Simplifying 0.9w + -0.5w + 0.01 = 4 Reorder the terms: 0.01 + 0.9w + -0.5w = 4 Combine like terms: 0.9w + -0.5w = 0.4w 0.01 + 0.4w = 4 Solving 0.01 + 0.4w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.01' to each side of the equation. 0.01 + -0.01 + 0.4w = 4 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + 0.4w = 4 + -0.01 0.4w = 4 + -0.01 Combine like terms: 4 + -0.01 = 3.99 0.4w = 3.99 Divide each side by '0.4'. w = 9.975 Simplifying w = 9.975
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