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Simplifying 0.42w + -0.2 = 0.4w + 0.14 Reorder the terms: -0.2 + 0.42w = 0.4w + 0.14 Reorder the terms: -0.2 + 0.42w = 0.14 + 0.4w Solving -0.2 + 0.42w = 0.14 + 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. -0.2 + 0.42w + -0.4w = 0.14 + 0.4w + -0.4w Combine like terms: 0.42w + -0.4w = 0.02w -0.2 + 0.02w = 0.14 + 0.4w + -0.4w Combine like terms: 0.4w + -0.4w = 0.0 -0.2 + 0.02w = 0.14 + 0.0 -0.2 + 0.02w = 0.14 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.02w = 0.14 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.02w = 0.14 + 0.2 0.02w = 0.14 + 0.2 Combine like terms: 0.14 + 0.2 = 0.34 0.02w = 0.34 Divide each side by '0.02'. w = 17 Simplifying w = 17
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