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Simplifying -3(3p + 3) + -2(4 + -8p) + -3(9 + 2p) = 0 Reorder the terms: -3(3 + 3p) + -2(4 + -8p) + -3(9 + 2p) = 0 (3 * -3 + 3p * -3) + -2(4 + -8p) + -3(9 + 2p) = 0 (-9 + -9p) + -2(4 + -8p) + -3(9 + 2p) = 0 -9 + -9p + (4 * -2 + -8p * -2) + -3(9 + 2p) = 0 -9 + -9p + (-8 + 16p) + -3(9 + 2p) = 0 -9 + -9p + -8 + 16p + (9 * -3 + 2p * -3) = 0 -9 + -9p + -8 + 16p + (-27 + -6p) = 0 Reorder the terms: -9 + -8 + -27 + -9p + 16p + -6p = 0 Combine like terms: -9 + -8 = -17 -17 + -27 + -9p + 16p + -6p = 0 Combine like terms: -17 + -27 = -44 -44 + -9p + 16p + -6p = 0 Combine like terms: -9p + 16p = 7p -44 + 7p + -6p = 0 Combine like terms: 7p + -6p = 1p -44 + 1p = 0 Solving -44 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 1p = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1p = 0 + 44 1p = 0 + 44 Combine like terms: 0 + 44 = 44 1p = 44 Divide each side by '1'. p = 44 Simplifying p = 44
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