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Simplifying -11(-3p + -9) = -4(2p + 9) + 12 Reorder the terms: -11(-9 + -3p) = -4(2p + 9) + 12 (-9 * -11 + -3p * -11) = -4(2p + 9) + 12 (99 + 33p) = -4(2p + 9) + 12 Reorder the terms: 99 + 33p = -4(9 + 2p) + 12 99 + 33p = (9 * -4 + 2p * -4) + 12 99 + 33p = (-36 + -8p) + 12 Reorder the terms: 99 + 33p = -36 + 12 + -8p Combine like terms: -36 + 12 = -24 99 + 33p = -24 + -8p Solving 99 + 33p = -24 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 99 + 33p + 8p = -24 + -8p + 8p Combine like terms: 33p + 8p = 41p 99 + 41p = -24 + -8p + 8p Combine like terms: -8p + 8p = 0 99 + 41p = -24 + 0 99 + 41p = -24 Add '-99' to each side of the equation. 99 + -99 + 41p = -24 + -99 Combine like terms: 99 + -99 = 0 0 + 41p = -24 + -99 41p = -24 + -99 Combine like terms: -24 + -99 = -123 41p = -123 Divide each side by '41'. p = -3 Simplifying p = -3
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