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Simplifying 8p + q + -17p + 19q = 0 Reorder the terms: 8p + -17p + q + 19q = 0 Combine like terms: 8p + -17p = -9p -9p + q + 19q = 0 Combine like terms: q + 19q = 20q -9p + 20q = 0 Solving -9p + 20q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20q' to each side of the equation. -9p + 20q + -20q = 0 + -20q Combine like terms: 20q + -20q = 0 -9p + 0 = 0 + -20q -9p = 0 + -20q Remove the zero: -9p = -20q Divide each side by '-9'. p = 2.222222222q Simplifying p = 2.222222222q
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