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Simplifying p + -9 = 3(p + 1) Reorder the terms: -9 + p = 3(p + 1) Reorder the terms: -9 + p = 3(1 + p) -9 + p = (1 * 3 + p * 3) -9 + p = (3 + 3p) Solving -9 + p = 3 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -9 + p + -3p = 3 + 3p + -3p Combine like terms: p + -3p = -2p -9 + -2p = 3 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + -2p = 3 + 0 -9 + -2p = 3 Add '9' to each side of the equation. -9 + 9 + -2p = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -2p = 3 + 9 -2p = 3 + 9 Combine like terms: 3 + 9 = 12 -2p = 12 Divide each side by '-2'. p = -6 Simplifying p = -6
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