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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 = 4p 4p + 9p + 4q + -2q + -3q = 0 Combine like terms: 4p + 9p = 13p 13p + 4q + -2q + -3q = 0 Combine like terms: 4q + -2q = 2q 13p + 2q + -3q = 0 Combine like terms: 2q + -3q = -1q 13p + -1q = 0 Solving 13p + -1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. 13p + -1q + q = 0 + q Combine like terms: -1q + q = 0 13p + 0 = 0 + q 13p = 0 + q Remove the zero: 13p = q Divide each side by '13'. p = 0.07692307692q Simplifying p = 0.07692307692q
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