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Simplifying -3(3p + 4) + -2(6 + -8p) + -3(4 + 2p) = 0 Reorder the terms: -3(4 + 3p) + -2(6 + -8p) + -3(4 + 2p) = 0 (4 * -3 + 3p * -3) + -2(6 + -8p) + -3(4 + 2p) = 0 (-12 + -9p) + -2(6 + -8p) + -3(4 + 2p) = 0 -12 + -9p + (6 * -2 + -8p * -2) + -3(4 + 2p) = 0 -12 + -9p + (-12 + 16p) + -3(4 + 2p) = 0 -12 + -9p + -12 + 16p + (4 * -3 + 2p * -3) = 0 -12 + -9p + -12 + 16p + (-12 + -6p) = 0 Reorder the terms: -12 + -12 + -12 + -9p + 16p + -6p = 0 Combine like terms: -12 + -12 = -24 -24 + -12 + -9p + 16p + -6p = 0 Combine like terms: -24 + -12 = -36 -36 + -9p + 16p + -6p = 0 Combine like terms: -9p + 16p = 7p -36 + 7p + -6p = 0 Combine like terms: 7p + -6p = 1p -36 + 1p = 0 Solving -36 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 1p = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 1p = 0 + 36 1p = 0 + 36 Combine like terms: 0 + 36 = 36 1p = 36 Divide each side by '1'. p = 36 Simplifying p = 36
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