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Simplifying 5(2p + 3) = 2(4p + -1) Reorder the terms: 5(3 + 2p) = 2(4p + -1) (3 * 5 + 2p * 5) = 2(4p + -1) (15 + 10p) = 2(4p + -1) Reorder the terms: 15 + 10p = 2(-1 + 4p) 15 + 10p = (-1 * 2 + 4p * 2) 15 + 10p = (-2 + 8p) Solving 15 + 10p = -2 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 15 + 10p + -8p = -2 + 8p + -8p Combine like terms: 10p + -8p = 2p 15 + 2p = -2 + 8p + -8p Combine like terms: 8p + -8p = 0 15 + 2p = -2 + 0 15 + 2p = -2 Add '-15' to each side of the equation. 15 + -15 + 2p = -2 + -15 Combine like terms: 15 + -15 = 0 0 + 2p = -2 + -15 2p = -2 + -15 Combine like terms: -2 + -15 = -17 2p = -17 Divide each side by '2'. p = -8.5 Simplifying p = -8.5
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