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Simplifying 15(w + 200) = 30 + 20w Reorder the terms: 15(200 + w) = 30 + 20w (200 * 15 + w * 15) = 30 + 20w (3000 + 15w) = 30 + 20w Solving 3000 + 15w = 30 + 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. 3000 + 15w + -20w = 30 + 20w + -20w Combine like terms: 15w + -20w = -5w 3000 + -5w = 30 + 20w + -20w Combine like terms: 20w + -20w = 0 3000 + -5w = 30 + 0 3000 + -5w = 30 Add '-3000' to each side of the equation. 3000 + -3000 + -5w = 30 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -5w = 30 + -3000 -5w = 30 + -3000 Combine like terms: 30 + -3000 = -2970 -5w = -2970 Divide each side by '-5'. w = 594 Simplifying w = 594
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