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Simplifying 3(2p + 7) + -38 = 4p + 3 Reorder the terms: 3(7 + 2p) + -38 = 4p + 3 (7 * 3 + 2p * 3) + -38 = 4p + 3 (21 + 6p) + -38 = 4p + 3 Reorder the terms: 21 + -38 + 6p = 4p + 3 Combine like terms: 21 + -38 = -17 -17 + 6p = 4p + 3 Reorder the terms: -17 + 6p = 3 + 4p Solving -17 + 6p = 3 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -17 + 6p + -4p = 3 + 4p + -4p Combine like terms: 6p + -4p = 2p -17 + 2p = 3 + 4p + -4p Combine like terms: 4p + -4p = 0 -17 + 2p = 3 + 0 -17 + 2p = 3 Add '17' to each side of the equation. -17 + 17 + 2p = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 2p = 3 + 17 2p = 3 + 17 Combine like terms: 3 + 17 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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