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Simplifying 5p + 2q + -3p + -3q = 0 Reorder the terms: 5p + -3p + 2q + -3q = 0 Combine like terms: 5p + -3p = 2p 2p + 2q + -3q = 0 Combine like terms: 2q + -3q = -1q 2p + -1q = 0 Solving 2p + -1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. 2p + -1q + q = 0 + q Combine like terms: -1q + q = 0 2p + 0 = 0 + q 2p = 0 + q Remove the zero: 2p = q Divide each side by '2'. p = 0.5q Simplifying p = 0.5q
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