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Simplifying 3(4p + 3) + 4(p + -9) = 0 Reorder the terms: 3(3 + 4p) + 4(p + -9) = 0 (3 * 3 + 4p * 3) + 4(p + -9) = 0 (9 + 12p) + 4(p + -9) = 0 Reorder the terms: 9 + 12p + 4(-9 + p) = 0 9 + 12p + (-9 * 4 + p * 4) = 0 9 + 12p + (-36 + 4p) = 0 Reorder the terms: 9 + -36 + 12p + 4p = 0 Combine like terms: 9 + -36 = -27 -27 + 12p + 4p = 0 Combine like terms: 12p + 4p = 16p -27 + 16p = 0 Solving -27 + 16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 16p = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 16p = 0 + 27 16p = 0 + 27 Combine like terms: 0 + 27 = 27 16p = 27 Divide each side by '16'. p = 1.6875 Simplifying p = 1.6875
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