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