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Simplifying 0.4w + -11 = 0.5w Reorder the terms: -11 + 0.4w = 0.5w Solving -11 + 0.4w = 0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5w' to each side of the equation. -11 + 0.4w + -0.5w = 0.5w + -0.5w Combine like terms: 0.4w + -0.5w = -0.1w -11 + -0.1w = 0.5w + -0.5w Combine like terms: 0.5w + -0.5w = 0.0 -11 + -0.1w = 0.0 Add '11' to each side of the equation. -11 + 11 + -0.1w = 0.0 + 11 Combine like terms: -11 + 11 = 0 0 + -0.1w = 0.0 + 11 -0.1w = 0.0 + 11 Combine like terms: 0.0 + 11 = 11 -0.1w = 11 Divide each side by '-0.1'. w = -110 Simplifying w = -110
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