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Simplifying 0.4(5w + 20) = 5.4w + 20.4 Reorder the terms: 0.4(20 + 5w) = 5.4w + 20.4 (20 * 0.4 + 5w * 0.4) = 5.4w + 20.4 (8 + 2w) = 5.4w + 20.4 Reorder the terms: 8 + 2w = 20.4 + 5.4w Solving 8 + 2w = 20.4 + 5.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5.4w' to each side of the equation. 8 + 2w + -5.4w = 20.4 + 5.4w + -5.4w Combine like terms: 2w + -5.4w = -3.4w 8 + -3.4w = 20.4 + 5.4w + -5.4w Combine like terms: 5.4w + -5.4w = 0.0 8 + -3.4w = 20.4 + 0.0 8 + -3.4w = 20.4 Add '-8' to each side of the equation. 8 + -8 + -3.4w = 20.4 + -8 Combine like terms: 8 + -8 = 0 0 + -3.4w = 20.4 + -8 -3.4w = 20.4 + -8 Combine like terms: 20.4 + -8 = 12.4 -3.4w = 12.4 Divide each side by '-3.4'. w = -3.647058824 Simplifying w = -3.647058824
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