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Simplifying 19p + q + 12p + 17q = 0 Reorder the terms: 19p + 12p + q + 17q = 0 Combine like terms: 19p + 12p = 31p 31p + q + 17q = 0 Combine like terms: q + 17q = 18q 31p + 18q = 0 Solving 31p + 18q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18q' to each side of the equation. 31p + 18q + -18q = 0 + -18q Combine like terms: 18q + -18q = 0 31p + 0 = 0 + -18q 31p = 0 + -18q Remove the zero: 31p = -18q Divide each side by '31'. p = -0.5806451613q Simplifying p = -0.5806451613q
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