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Simplifying 0.4(5w + 20) = 20w + 80 Reorder the terms: 0.4(20 + 5w) = 20w + 80 (20 * 0.4 + 5w * 0.4) = 20w + 80 (8 + 2w) = 20w + 80 Reorder the terms: 8 + 2w = 80 + 20w Solving 8 + 2w = 80 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 8 + 2w + -20w = 80 + 20w + -20w Combine like terms: 2w + -20w = -18w 8 + -18w = 80 + 20w + -20w Combine like terms: 20w + -20w = 0 8 + -18w = 80 + 0 8 + -18w = 80 Add '-8' to each side of the equation. 8 + -8 + -18w = 80 + -8 Combine like terms: 8 + -8 = 0 0 + -18w = 80 + -8 -18w = 80 + -8 Combine like terms: 80 + -8 = 72 -18w = 72 Divide each side by '-18'. w = -4 Simplifying w = -4
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