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Simplifying 9p + q + 16p + 12q = 0 Reorder the terms: 9p + 16p + q + 12q = 0 Combine like terms: 9p + 16p = 25p 25p + q + 12q = 0 Combine like terms: q + 12q = 13q 25p + 13q = 0 Solving 25p + 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. 25p + 13q + -13q = 0 + -13q Combine like terms: 13q + -13q = 0 25p + 0 = 0 + -13q 25p = 0 + -13q Remove the zero: 25p = -13q Divide each side by '25'. p = -0.52q Simplifying p = -0.52q
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