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Simplifying 2p + q + 6p + -5q = 0 Reorder the terms: 2p + 6p + q + -5q = 0 Combine like terms: 2p + 6p = 8p 8p + q + -5q = 0 Combine like terms: q + -5q = -4q 8p + -4q = 0 Solving 8p + -4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4q' to each side of the equation. 8p + -4q + 4q = 0 + 4q Combine like terms: -4q + 4q = 0 8p + 0 = 0 + 4q 8p = 0 + 4q Remove the zero: 8p = 4q Divide each side by '8'. p = 0.5q Simplifying p = 0.5q
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