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Simplifying 0.20(w + 2) = w + -4 Reorder the terms: 0.20(2 + w) = w + -4 (2 * 0.20 + w * 0.20) = w + -4 (0.4 + 0.20w) = w + -4 Reorder the terms: 0.4 + 0.20w = -4 + w Solving 0.4 + 0.20w = -4 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 0.4 + 0.20w + -1w = -4 + w + -1w Combine like terms: 0.20w + -1w = -0.8w 0.4 + -0.8w = -4 + w + -1w Combine like terms: w + -1w = 0 0.4 + -0.8w = -4 + 0 0.4 + -0.8w = -4 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.8w = -4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.8w = -4 + -0.4 -0.8w = -4 + -0.4 Combine like terms: -4 + -0.4 = -4.4 -0.8w = -4.4 Divide each side by '-0.8'. w = 5.5 Simplifying w = 5.5
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