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Simplifying q + p + 4q + 8p = 0 Reorder the terms: p + 8p + q + 4q = 0 Combine like terms: p + 8p = 9p 9p + q + 4q = 0 Combine like terms: q + 4q = 5q 9p + 5q = 0 Solving 9p + 5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5q' to each side of the equation. 9p + 5q + -5q = 0 + -5q Combine like terms: 5q + -5q = 0 9p + 0 = 0 + -5q 9p = 0 + -5q Remove the zero: 9p = -5q Divide each side by '9'. p = -0.5555555556q Simplifying p = -0.5555555556q
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