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Simplifying 9 = 3[p + 1] Reorder the terms: 9 = 3[1 + p] 9 = [1 * 3 + p * 3] 9 = [3 + 3p] Solving 9 = 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 + -3p = 3 + 3p + -3p Combine like terms: 3p + -3p = 0 9 + -3p = 3 + 0 9 + -3p = 3 Add '-9' to each side of the equation. 9 + -9 + -3p = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -3p = 3 + -9 -3p = 3 + -9 Combine like terms: 3 + -9 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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