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Simplifying -4p + 3(8p + -5) = -2p + 7 Reorder the terms: -4p + 3(-5 + 8p) = -2p + 7 -4p + (-5 * 3 + 8p * 3) = -2p + 7 -4p + (-15 + 24p) = -2p + 7 Reorder the terms: -15 + -4p + 24p = -2p + 7 Combine like terms: -4p + 24p = 20p -15 + 20p = -2p + 7 Reorder the terms: -15 + 20p = 7 + -2p Solving -15 + 20p = 7 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -15 + 20p + 2p = 7 + -2p + 2p Combine like terms: 20p + 2p = 22p -15 + 22p = 7 + -2p + 2p Combine like terms: -2p + 2p = 0 -15 + 22p = 7 + 0 -15 + 22p = 7 Add '15' to each side of the equation. -15 + 15 + 22p = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 22p = 7 + 15 22p = 7 + 15 Combine like terms: 7 + 15 = 22 22p = 22 Divide each side by '22'. p = 1 Simplifying p = 1
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