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Simplifying -1(p + 4) + 3(2p + 9) = 38 Reorder the terms: -1(4 + p) + 3(2p + 9) = 38 (4 * -1 + p * -1) + 3(2p + 9) = 38 (-4 + -1p) + 3(2p + 9) = 38 Reorder the terms: -4 + -1p + 3(9 + 2p) = 38 -4 + -1p + (9 * 3 + 2p * 3) = 38 -4 + -1p + (27 + 6p) = 38 Reorder the terms: -4 + 27 + -1p + 6p = 38 Combine like terms: -4 + 27 = 23 23 + -1p + 6p = 38 Combine like terms: -1p + 6p = 5p 23 + 5p = 38 Solving 23 + 5p = 38 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5p = 38 + -23 Combine like terms: 23 + -23 = 0 0 + 5p = 38 + -23 5p = 38 + -23 Combine like terms: 38 + -23 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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