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Simplifying 12p + 6q + -9p + 8q = 0 Reorder the terms: 12p + -9p + 6q + 8q = 0 Combine like terms: 12p + -9p = 3p 3p + 6q + 8q = 0 Combine like terms: 6q + 8q = 14q 3p + 14q = 0 Solving 3p + 14q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14q' to each side of the equation. 3p + 14q + -14q = 0 + -14q Combine like terms: 14q + -14q = 0 3p + 0 = 0 + -14q 3p = 0 + -14q Remove the zero: 3p = -14q Divide each side by '3'. p = -4.666666667q Simplifying p = -4.666666667q
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