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Simplifying 3(2p + 3) = 4(p + 9) + -3 Reorder the terms: 3(3 + 2p) = 4(p + 9) + -3 (3 * 3 + 2p * 3) = 4(p + 9) + -3 (9 + 6p) = 4(p + 9) + -3 Reorder the terms: 9 + 6p = 4(9 + p) + -3 9 + 6p = (9 * 4 + p * 4) + -3 9 + 6p = (36 + 4p) + -3 Reorder the terms: 9 + 6p = 36 + -3 + 4p Combine like terms: 36 + -3 = 33 9 + 6p = 33 + 4p Solving 9 + 6p = 33 + 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. 9 + 6p + -4p = 33 + 4p + -4p Combine like terms: 6p + -4p = 2p 9 + 2p = 33 + 4p + -4p Combine like terms: 4p + -4p = 0 9 + 2p = 33 + 0 9 + 2p = 33 Add '-9' to each side of the equation. 9 + -9 + 2p = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 2p = 33 + -9 2p = 33 + -9 Combine like terms: 33 + -9 = 24 2p = 24 Divide each side by '2'. p = 12 Simplifying p = 12
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