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Simplifying -3(8p + 6) + -2(1 + -17p) + -3(2 + 3p) = 0 Reorder the terms: -3(6 + 8p) + -2(1 + -17p) + -3(2 + 3p) = 0 (6 * -3 + 8p * -3) + -2(1 + -17p) + -3(2 + 3p) = 0 (-18 + -24p) + -2(1 + -17p) + -3(2 + 3p) = 0 -18 + -24p + (1 * -2 + -17p * -2) + -3(2 + 3p) = 0 -18 + -24p + (-2 + 34p) + -3(2 + 3p) = 0 -18 + -24p + -2 + 34p + (2 * -3 + 3p * -3) = 0 -18 + -24p + -2 + 34p + (-6 + -9p) = 0 Reorder the terms: -18 + -2 + -6 + -24p + 34p + -9p = 0 Combine like terms: -18 + -2 = -20 -20 + -6 + -24p + 34p + -9p = 0 Combine like terms: -20 + -6 = -26 -26 + -24p + 34p + -9p = 0 Combine like terms: -24p + 34p = 10p -26 + 10p + -9p = 0 Combine like terms: 10p + -9p = 1p -26 + 1p = 0 Solving -26 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 1p = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1p = 0 + 26 1p = 0 + 26 Combine like terms: 0 + 26 = 26 1p = 26 Divide each side by '1'. p = 26 Simplifying p = 26
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