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Simplifying (500 + w) * 6 = 2850 Reorder the terms for easier multiplication: 6(500 + w) = 2850 (500 * 6 + w * 6) = 2850 (3000 + 6w) = 2850 Solving 3000 + 6w = 2850 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3000' to each side of the equation. 3000 + -3000 + 6w = 2850 + -3000 Combine like terms: 3000 + -3000 = 0 0 + 6w = 2850 + -3000 6w = 2850 + -3000 Combine like terms: 2850 + -3000 = -150 6w = -150 Divide each side by '6'. w = -25 Simplifying w = -25
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