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Simplifying -3(3p + 5) + -2(6 + -8p) + -3(7 + 2p) = 0 Reorder the terms: -3(5 + 3p) + -2(6 + -8p) + -3(7 + 2p) = 0 (5 * -3 + 3p * -3) + -2(6 + -8p) + -3(7 + 2p) = 0 (-15 + -9p) + -2(6 + -8p) + -3(7 + 2p) = 0 -15 + -9p + (6 * -2 + -8p * -2) + -3(7 + 2p) = 0 -15 + -9p + (-12 + 16p) + -3(7 + 2p) = 0 -15 + -9p + -12 + 16p + (7 * -3 + 2p * -3) = 0 -15 + -9p + -12 + 16p + (-21 + -6p) = 0 Reorder the terms: -15 + -12 + -21 + -9p + 16p + -6p = 0 Combine like terms: -15 + -12 = -27 -27 + -21 + -9p + 16p + -6p = 0 Combine like terms: -27 + -21 = -48 -48 + -9p + 16p + -6p = 0 Combine like terms: -9p + 16p = 7p -48 + 7p + -6p = 0 Combine like terms: 7p + -6p = 1p -48 + 1p = 0 Solving -48 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 1p = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 1p = 0 + 48 1p = 0 + 48 Combine like terms: 0 + 48 = 48 1p = 48 Divide each side by '1'. p = 48 Simplifying p = 48
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