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Simplifying -3(3p + 6) + -2(4 + -8p) + -3(4 + 2p) = 0 Reorder the terms: -3(6 + 3p) + -2(4 + -8p) + -3(4 + 2p) = 0 (6 * -3 + 3p * -3) + -2(4 + -8p) + -3(4 + 2p) = 0 (-18 + -9p) + -2(4 + -8p) + -3(4 + 2p) = 0 -18 + -9p + (4 * -2 + -8p * -2) + -3(4 + 2p) = 0 -18 + -9p + (-8 + 16p) + -3(4 + 2p) = 0 -18 + -9p + -8 + 16p + (4 * -3 + 2p * -3) = 0 -18 + -9p + -8 + 16p + (-12 + -6p) = 0 Reorder the terms: -18 + -8 + -12 + -9p + 16p + -6p = 0 Combine like terms: -18 + -8 = -26 -26 + -12 + -9p + 16p + -6p = 0 Combine like terms: -26 + -12 = -38 -38 + -9p + 16p + -6p = 0 Combine like terms: -9p + 16p = 7p -38 + 7p + -6p = 0 Combine like terms: 7p + -6p = 1p -38 + 1p = 0 Solving -38 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 1p = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1p = 0 + 38 1p = 0 + 38 Combine like terms: 0 + 38 = 38 1p = 38 Divide each side by '1'. p = 38 Simplifying p = 38
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