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Simplifying (500 + -1w) * 6 = 2850 Reorder the terms for easier multiplication: 6(500 + -1w) = 2850 (500 * 6 + -1w * 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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