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Simplifying 8p + 4q + 4p + 2q + 3q + 9p = 0 Reorder the terms: 8p + 4p + 9p + 4q + 2q + 3q = 0 Combine like terms: 8p + 4p = 12p 12p + 9p + 4q + 2q + 3q = 0 Combine like terms: 12p + 9p = 21p 21p + 4q + 2q + 3q = 0 Combine like terms: 4q + 2q = 6q 21p + 6q + 3q = 0 Combine like terms: 6q + 3q = 9q 21p + 9q = 0 Solving 21p + 9q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9q' to each side of the equation. 21p + 9q + -9q = 0 + -9q Combine like terms: 9q + -9q = 0 21p + 0 = 0 + -9q 21p = 0 + -9q Remove the zero: 21p = -9q Divide each side by '21'. p = -0.4285714286q Simplifying p = -0.4285714286q
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