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Simplifying 0.09p + 0.01(5000 + -1p) = 290 0.09p + (5000 * 0.01 + -1p * 0.01) = 290 0.09p + (50 + -0.01p) = 290 Reorder the terms: 50 + 0.09p + -0.01p = 290 Combine like terms: 0.09p + -0.01p = 0.08p 50 + 0.08p = 290 Solving 50 + 0.08p = 290 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 0.08p = 290 + -50 Combine like terms: 50 + -50 = 0 0 + 0.08p = 290 + -50 0.08p = 290 + -50 Combine like terms: 290 + -50 = 240 0.08p = 240 Divide each side by '0.08'. p = 3000 Simplifying p = 3000
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