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Simplifying 5200(p) + 4200(100 + -1p) = 5000 5200p + (100 * 4200 + -1p * 4200) = 5000 5200p + (420000 + -4200p) = 5000 Reorder the terms: 420000 + 5200p + -4200p = 5000 Combine like terms: 5200p + -4200p = 1000p 420000 + 1000p = 5000 Solving 420000 + 1000p = 5000 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-420000' to each side of the equation. 420000 + -420000 + 1000p = 5000 + -420000 Combine like terms: 420000 + -420000 = 0 0 + 1000p = 5000 + -420000 1000p = 5000 + -420000 Combine like terms: 5000 + -420000 = -415000 1000p = -415000 Divide each side by '1000'. p = -415 Simplifying p = -415
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