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Simplifying -38 + 2p = -9(1 + 3p) -38 + 2p = (1 * -9 + 3p * -9) -38 + 2p = (-9 + -27p) Solving -38 + 2p = -9 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -38 + 2p + 27p = -9 + -27p + 27p Combine like terms: 2p + 27p = 29p -38 + 29p = -9 + -27p + 27p Combine like terms: -27p + 27p = 0 -38 + 29p = -9 + 0 -38 + 29p = -9 Add '38' to each side of the equation. -38 + 38 + 29p = -9 + 38 Combine like terms: -38 + 38 = 0 0 + 29p = -9 + 38 29p = -9 + 38 Combine like terms: -9 + 38 = 29 29p = 29 Divide each side by '29'. p = 1 Simplifying p = 1
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