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Simplifying 9r + 3(8p + 7r) + 15 = 0 9r + (8p * 3 + 7r * 3) + 15 = 0 9r + (24p + 21r) + 15 = 0 Reorder the terms: 15 + 24p + 9r + 21r = 0 Combine like terms: 9r + 21r = 30r 15 + 24p + 30r = 0 Solving 15 + 24p + 30r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 24p + -15 + 30r = 0 + -15 Reorder the terms: 15 + -15 + 24p + 30r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 24p + 30r = 0 + -15 24p + 30r = 0 + -15 Combine like terms: 0 + -15 = -15 24p + 30r = -15 Add '-30r' to each side of the equation. 24p + 30r + -30r = -15 + -30r Combine like terms: 30r + -30r = 0 24p + 0 = -15 + -30r 24p = -15 + -30r Divide each side by '24'. p = -0.625 + -1.25r Simplifying p = -0.625 + -1.25r
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