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Simplifying 4p + 2q + -2p + 4q = 0 Reorder the terms: 4p + -2p + 2q + 4q = 0 Combine like terms: 4p + -2p = 2p 2p + 2q + 4q = 0 Combine like terms: 2q + 4q = 6q 2p + 6q = 0 Solving 2p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6q' to each side of the equation. 2p + 6q + -6q = 0 + -6q Combine like terms: 6q + -6q = 0 2p + 0 = 0 + -6q 2p = 0 + -6q Remove the zero: 2p = -6q Divide each side by '2'. p = -3q Simplifying p = -3q
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