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Simplifying 8(11p + 15) + 7p = 500 Reorder the terms: 8(15 + 11p) + 7p = 500 (15 * 8 + 11p * 8) + 7p = 500 (120 + 88p) + 7p = 500 Combine like terms: 88p + 7p = 95p 120 + 95p = 500 Solving 120 + 95p = 500 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 95p = 500 + -120 Combine like terms: 120 + -120 = 0 0 + 95p = 500 + -120 95p = 500 + -120 Combine like terms: 500 + -120 = 380 95p = 380 Divide each side by '95'. p = 4 Simplifying p = 4
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