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Simplifying 3(2p + -3) = 4(p + 4) Reorder the terms: 3(-3 + 2p) = 4(p + 4) (-3 * 3 + 2p * 3) = 4(p + 4) (-9 + 6p) = 4(p + 4) Reorder the terms: -9 + 6p = 4(4 + p) -9 + 6p = (4 * 4 + p * 4) -9 + 6p = (16 + 4p) Solving -9 + 6p = 16 + 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 = 16 + 4p + -4p Combine like terms: 6p + -4p = 2p -9 + 2p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -9 + 2p = 16 + 0 -9 + 2p = 16 Add '9' to each side of the equation. -9 + 9 + 2p = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = 16 + 9 2p = 16 + 9 Combine like terms: 16 + 9 = 25 2p = 25 Divide each side by '2'. p = 12.5 Simplifying p = 12.5
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