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Simplifying 3(5p + 8) + -4(p + -4) = 0 Reorder the terms: 3(8 + 5p) + -4(p + -4) = 0 (8 * 3 + 5p * 3) + -4(p + -4) = 0 (24 + 15p) + -4(p + -4) = 0 Reorder the terms: 24 + 15p + -4(-4 + p) = 0 24 + 15p + (-4 * -4 + p * -4) = 0 24 + 15p + (16 + -4p) = 0 Reorder the terms: 24 + 16 + 15p + -4p = 0 Combine like terms: 24 + 16 = 40 40 + 15p + -4p = 0 Combine like terms: 15p + -4p = 11p 40 + 11p = 0 Solving 40 + 11p = 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 + 11p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 11p = 0 + -40 11p = 0 + -40 Combine like terms: 0 + -40 = -40 11p = -40 Divide each side by '11'. p = -3.636363636 Simplifying p = -3.636363636
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