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Simplifying 5(2p + 3) + -3(2p + -3) = 4 Reorder the terms: 5(3 + 2p) + -3(2p + -3) = 4 (3 * 5 + 2p * 5) + -3(2p + -3) = 4 (15 + 10p) + -3(2p + -3) = 4 Reorder the terms: 15 + 10p + -3(-3 + 2p) = 4 15 + 10p + (-3 * -3 + 2p * -3) = 4 15 + 10p + (9 + -6p) = 4 Reorder the terms: 15 + 9 + 10p + -6p = 4 Combine like terms: 15 + 9 = 24 24 + 10p + -6p = 4 Combine like terms: 10p + -6p = 4p 24 + 4p = 4 Solving 24 + 4p = 4 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4p = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4p = 4 + -24 4p = 4 + -24 Combine like terms: 4 + -24 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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