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Simplifying -3(p + 9) = -9(1 + p) Reorder the terms: -3(9 + p) = -9(1 + p) (9 * -3 + p * -3) = -9(1 + p) (-27 + -3p) = -9(1 + p) -27 + -3p = (1 * -9 + p * -9) -27 + -3p = (-9 + -9p) Solving -27 + -3p = -9 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -27 + -3p + 9p = -9 + -9p + 9p Combine like terms: -3p + 9p = 6p -27 + 6p = -9 + -9p + 9p Combine like terms: -9p + 9p = 0 -27 + 6p = -9 + 0 -27 + 6p = -9 Add '27' to each side of the equation. -27 + 27 + 6p = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 6p = -9 + 27 6p = -9 + 27 Combine like terms: -9 + 27 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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