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Simplifying (2p + -10)(150) = 4500 + -100p Reorder the terms: (-10 + 2p)(150) = 4500 + -100p Reorder the terms for easier multiplication: 150(-10 + 2p) = 4500 + -100p (-10 * 150 + 2p * 150) = 4500 + -100p (-1500 + 300p) = 4500 + -100p Solving -1500 + 300p = 4500 + -100p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '100p' to each side of the equation. -1500 + 300p + 100p = 4500 + -100p + 100p Combine like terms: 300p + 100p = 400p -1500 + 400p = 4500 + -100p + 100p Combine like terms: -100p + 100p = 0 -1500 + 400p = 4500 + 0 -1500 + 400p = 4500 Add '1500' to each side of the equation. -1500 + 1500 + 400p = 4500 + 1500 Combine like terms: -1500 + 1500 = 0 0 + 400p = 4500 + 1500 400p = 4500 + 1500 Combine like terms: 4500 + 1500 = 6000 400p = 6000 Divide each side by '400'. p = 15 Simplifying p = 15
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