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Simplifying 8p + 5q + 1 + 7p + 7q + 24 = 0 Reorder the terms: 1 + 24 + 8p + 7p + 5q + 7q = 0 Combine like terms: 1 + 24 = 25 25 + 8p + 7p + 5q + 7q = 0 Combine like terms: 8p + 7p = 15p 25 + 15p + 5q + 7q = 0 Combine like terms: 5q + 7q = 12q 25 + 15p + 12q = 0 Solving 25 + 15p + 12q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 15p + -25 + 12q = 0 + -25 Reorder the terms: 25 + -25 + 15p + 12q = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 15p + 12q = 0 + -25 15p + 12q = 0 + -25 Combine like terms: 0 + -25 = -25 15p + 12q = -25 Add '-12q' to each side of the equation. 15p + 12q + -12q = -25 + -12q Combine like terms: 12q + -12q = 0 15p + 0 = -25 + -12q 15p = -25 + -12q Divide each side by '15'. p = -1.666666667 + -0.8q Simplifying p = -1.666666667 + -0.8q
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