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Simplifying 8 + 7p + -1(3p + 9) + -1(2p + 9) = 0 Reorder the terms: 8 + 7p + -1(9 + 3p) + -1(2p + 9) = 0 8 + 7p + (9 * -1 + 3p * -1) + -1(2p + 9) = 0 8 + 7p + (-9 + -3p) + -1(2p + 9) = 0 Reorder the terms: 8 + 7p + -9 + -3p + -1(9 + 2p) = 0 8 + 7p + -9 + -3p + (9 * -1 + 2p * -1) = 0 8 + 7p + -9 + -3p + (-9 + -2p) = 0 Reorder the terms: 8 + -9 + -9 + 7p + -3p + -2p = 0 Combine like terms: 8 + -9 = -1 -1 + -9 + 7p + -3p + -2p = 0 Combine like terms: -1 + -9 = -10 -10 + 7p + -3p + -2p = 0 Combine like terms: 7p + -3p = 4p -10 + 4p + -2p = 0 Combine like terms: 4p + -2p = 2p -10 + 2p = 0 Solving -10 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = 0 + 10 2p = 0 + 10 Combine like terms: 0 + 10 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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