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Simplifying 14p + 17q + p + -5q + -3p = 0 Reorder the terms: 14p + p + -3p + 17q + -5q = 0 Combine like terms: 14p + p = 15p 15p + -3p + 17q + -5q = 0 Combine like terms: 15p + -3p = 12p 12p + 17q + -5q = 0 Combine like terms: 17q + -5q = 12q 12p + 12q = 0 Solving 12p + 12q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12q' to each side of the equation. 12p + 12q + -12q = 0 + -12q Combine like terms: 12q + -12q = 0 12p + 0 = 0 + -12q 12p = 0 + -12q Remove the zero: 12p = -12q Divide each side by '12'. p = -1q Simplifying p = -1q
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