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Simplifying 5p + q + -3p + 7q = 0 Reorder the terms: 5p + -3p + q + 7q = 0 Combine like terms: 5p + -3p = 2p 2p + q + 7q = 0 Combine like terms: q + 7q = 8q 2p + 8q = 0 Solving 2p + 8q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. 2p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 2p + 0 = 0 + -8q 2p = 0 + -8q Remove the zero: 2p = -8q Divide each side by '2'. p = -4q Simplifying p = -4q
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