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Simplifying 3(3p + 6) + 2(4p + 11) = 0 Reorder the terms: 3(6 + 3p) + 2(4p + 11) = 0 (6 * 3 + 3p * 3) + 2(4p + 11) = 0 (18 + 9p) + 2(4p + 11) = 0 Reorder the terms: 18 + 9p + 2(11 + 4p) = 0 18 + 9p + (11 * 2 + 4p * 2) = 0 18 + 9p + (22 + 8p) = 0 Reorder the terms: 18 + 22 + 9p + 8p = 0 Combine like terms: 18 + 22 = 40 40 + 9p + 8p = 0 Combine like terms: 9p + 8p = 17p 40 + 17p = 0 Solving 40 + 17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 17p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 17p = 0 + -40 17p = 0 + -40 Combine like terms: 0 + -40 = -40 17p = -40 Divide each side by '17'. p = -2.352941176 Simplifying p = -2.352941176
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