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Simplifying 3(5p + 9) + -4(p + 8) = 0 Reorder the terms: 3(9 + 5p) + -4(p + 8) = 0 (9 * 3 + 5p * 3) + -4(p + 8) = 0 (27 + 15p) + -4(p + 8) = 0 Reorder the terms: 27 + 15p + -4(8 + p) = 0 27 + 15p + (8 * -4 + p * -4) = 0 27 + 15p + (-32 + -4p) = 0 Reorder the terms: 27 + -32 + 15p + -4p = 0 Combine like terms: 27 + -32 = -5 -5 + 15p + -4p = 0 Combine like terms: 15p + -4p = 11p -5 + 11p = 0 Solving -5 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11p = 0 + 5 11p = 0 + 5 Combine like terms: 0 + 5 = 5 11p = 5 Divide each side by '11'. p = 0.4545454545 Simplifying p = 0.4545454545
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