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Simplifying 3(2p + -5) = 4(p + 6) Reorder the terms: 3(-5 + 2p) = 4(p + 6) (-5 * 3 + 2p * 3) = 4(p + 6) (-15 + 6p) = 4(p + 6) Reorder the terms: -15 + 6p = 4(6 + p) -15 + 6p = (6 * 4 + p * 4) -15 + 6p = (24 + 4p) Solving -15 + 6p = 24 + 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. -15 + 6p + -4p = 24 + 4p + -4p Combine like terms: 6p + -4p = 2p -15 + 2p = 24 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 2p = 24 + 0 -15 + 2p = 24 Add '15' to each side of the equation. -15 + 15 + 2p = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = 24 + 15 2p = 24 + 15 Combine like terms: 24 + 15 = 39 2p = 39 Divide each side by '2'. p = 19.5 Simplifying p = 19.5
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