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Simplifying 4[p + -9] = [2p + 8] Reorder the terms: 4[-9 + p] = [2p + 8] [-9 * 4 + p * 4] = [2p + 8] [-36 + 4p] = [2p + 8] Reorder the terms: -36 + 4p = [8 + 2p] Remove brackets around [8 + 2p] -36 + 4p = 8 + 2p Solving -36 + 4p = 8 + 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. -36 + 4p + -2p = 8 + 2p + -2p Combine like terms: 4p + -2p = 2p -36 + 2p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -36 + 2p = 8 + 0 -36 + 2p = 8 Add '36' to each side of the equation. -36 + 36 + 2p = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 2p = 8 + 36 2p = 8 + 36 Combine like terms: 8 + 36 = 44 2p = 44 Divide each side by '2'. p = 22 Simplifying p = 22
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