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Simplifying 14p + q + 4p + 17q = 0 Reorder the terms: 14p + 4p + q + 17q = 0 Combine like terms: 14p + 4p = 18p 18p + q + 17q = 0 Combine like terms: q + 17q = 18q 18p + 18q = 0 Solving 18p + 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. 18p + 18q + -18q = 0 + -18q Combine like terms: 18q + -18q = 0 18p + 0 = 0 + -18q 18p = 0 + -18q Remove the zero: 18p = -18q Divide each side by '18'. p = -1q Simplifying p = -1q
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