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Simplifying 4(3p + -1) = 5(2p + 1) Reorder the terms: 4(-1 + 3p) = 5(2p + 1) (-1 * 4 + 3p * 4) = 5(2p + 1) (-4 + 12p) = 5(2p + 1) Reorder the terms: -4 + 12p = 5(1 + 2p) -4 + 12p = (1 * 5 + 2p * 5) -4 + 12p = (5 + 10p) Solving -4 + 12p = 5 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -4 + 12p + -10p = 5 + 10p + -10p Combine like terms: 12p + -10p = 2p -4 + 2p = 5 + 10p + -10p Combine like terms: 10p + -10p = 0 -4 + 2p = 5 + 0 -4 + 2p = 5 Add '4' to each side of the equation. -4 + 4 + 2p = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = 5 + 4 2p = 5 + 4 Combine like terms: 5 + 4 = 9 2p = 9 Divide each side by '2'. p = 4.5 Simplifying p = 4.5
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