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Simplifying 3(5p + 1) + -4(p + -9) = 0 Reorder the terms: 3(1 + 5p) + -4(p + -9) = 0 (1 * 3 + 5p * 3) + -4(p + -9) = 0 (3 + 15p) + -4(p + -9) = 0 Reorder the terms: 3 + 15p + -4(-9 + p) = 0 3 + 15p + (-9 * -4 + p * -4) = 0 3 + 15p + (36 + -4p) = 0 Reorder the terms: 3 + 36 + 15p + -4p = 0 Combine like terms: 3 + 36 = 39 39 + 15p + -4p = 0 Combine like terms: 15p + -4p = 11p 39 + 11p = 0 Solving 39 + 11p = 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 + 11p = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 11p = 0 + -39 11p = 0 + -39 Combine like terms: 0 + -39 = -39 11p = -39 Divide each side by '11'. p = -3.545454545 Simplifying p = -3.545454545
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