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Simplifying -3(8p + 3) + -2(1 + -23p) + -3(6 + 7p) = 0 Reorder the terms: -3(3 + 8p) + -2(1 + -23p) + -3(6 + 7p) = 0 (3 * -3 + 8p * -3) + -2(1 + -23p) + -3(6 + 7p) = 0 (-9 + -24p) + -2(1 + -23p) + -3(6 + 7p) = 0 -9 + -24p + (1 * -2 + -23p * -2) + -3(6 + 7p) = 0 -9 + -24p + (-2 + 46p) + -3(6 + 7p) = 0 -9 + -24p + -2 + 46p + (6 * -3 + 7p * -3) = 0 -9 + -24p + -2 + 46p + (-18 + -21p) = 0 Reorder the terms: -9 + -2 + -18 + -24p + 46p + -21p = 0 Combine like terms: -9 + -2 = -11 -11 + -18 + -24p + 46p + -21p = 0 Combine like terms: -11 + -18 = -29 -29 + -24p + 46p + -21p = 0 Combine like terms: -24p + 46p = 22p -29 + 22p + -21p = 0 Combine like terms: 22p + -21p = 1p -29 + 1p = 0 Solving -29 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1p = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1p = 0 + 29 1p = 0 + 29 Combine like terms: 0 + 29 = 29 1p = 29 Divide each side by '1'. p = 29 Simplifying p = 29
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