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Simplifying 0.1w + -0.4 = -0.4w + 1.1 Reorder the terms: -0.4 + 0.1w = -0.4w + 1.1 Reorder the terms: -0.4 + 0.1w = 1.1 + -0.4w Solving -0.4 + 0.1w = 1.1 + -0.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.4w' to each side of the equation. -0.4 + 0.1w + 0.4w = 1.1 + -0.4w + 0.4w Combine like terms: 0.1w + 0.4w = 0.5w -0.4 + 0.5w = 1.1 + -0.4w + 0.4w Combine like terms: -0.4w + 0.4w = 0.0 -0.4 + 0.5w = 1.1 + 0.0 -0.4 + 0.5w = 1.1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.5w = 1.1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.5w = 1.1 + 0.4 0.5w = 1.1 + 0.4 Combine like terms: 1.1 + 0.4 = 1.5 0.5w = 1.5 Divide each side by '0.5'. w = 3 Simplifying w = 3
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