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Simplifying [3p + -4] = [2p + 9] Reorder the terms: [-4 + 3p] = [2p + 9] Remove brackets around [-4 + 3p] -4 + 3p = [2p + 9] Reorder the terms: -4 + 3p = [9 + 2p] Remove brackets around [9 + 2p] -4 + 3p = 9 + 2p Solving -4 + 3p = 9 + 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. -4 + 3p + -2p = 9 + 2p + -2p Combine like terms: 3p + -2p = 1p -4 + 1p = 9 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 1p = 9 + 0 -4 + 1p = 9 Add '4' to each side of the equation. -4 + 4 + 1p = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 1p = 9 + 4 1p = 9 + 4 Combine like terms: 9 + 4 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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