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Simplifying 14p + q + -6p + 16q = 0 Reorder the terms: 14p + -6p + q + 16q = 0 Combine like terms: 14p + -6p = 8p 8p + q + 16q = 0 Combine like terms: q + 16q = 17q 8p + 17q = 0 Solving 8p + 17q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17q' to each side of the equation. 8p + 17q + -17q = 0 + -17q Combine like terms: 17q + -17q = 0 8p + 0 = 0 + -17q 8p = 0 + -17q Remove the zero: 8p = -17q Divide each side by '8'. p = -2.125q Simplifying p = -2.125q
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