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Simplifying 0.2(20w + 10) = -42 Reorder the terms: 0.2(10 + 20w) = -42 (10 * 0.2 + 20w * 0.2) = -42 (2 + 4w) = -42 Solving 2 + 4w = -42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4w = -42 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = -42 + -2 4w = -42 + -2 Combine like terms: -42 + -2 = -44 4w = -44 Divide each side by '4'. w = -11 Simplifying w = -11
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