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Simplifying 12p + 8q + -9p + 5q = 0 Reorder the terms: 12p + -9p + 8q + 5q = 0 Combine like terms: 12p + -9p = 3p 3p + 8q + 5q = 0 Combine like terms: 8q + 5q = 13q 3p + 13q = 0 Solving 3p + 13q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13q' to each side of the equation. 3p + 13q + -13q = 0 + -13q Combine like terms: 13q + -13q = 0 3p + 0 = 0 + -13q 3p = 0 + -13q Remove the zero: 3p = -13q Divide each side by '3'. p = -4.333333333q Simplifying p = -4.333333333q
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