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Simplifying 9(p + 4) + 3(4p + 1) = 0 Reorder the terms: 9(4 + p) + 3(4p + 1) = 0 (4 * 9 + p * 9) + 3(4p + 1) = 0 (36 + 9p) + 3(4p + 1) = 0 Reorder the terms: 36 + 9p + 3(1 + 4p) = 0 36 + 9p + (1 * 3 + 4p * 3) = 0 36 + 9p + (3 + 12p) = 0 Reorder the terms: 36 + 3 + 9p + 12p = 0 Combine like terms: 36 + 3 = 39 39 + 9p + 12p = 0 Combine like terms: 9p + 12p = 21p 39 + 21p = 0 Solving 39 + 21p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 21p = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 21p = 0 + -39 21p = 0 + -39 Combine like terms: 0 + -39 = -39 21p = -39 Divide each side by '21'. p = -1.857142857 Simplifying p = -1.857142857
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