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Simplifying 5p + 3q + -2p + 5q = 0 Reorder the terms: 5p + -2p + 3q + 5q = 0 Combine like terms: 5p + -2p = 3p 3p + 3q + 5q = 0 Combine like terms: 3q + 5q = 8q 3p + 8q = 0 Solving 3p + 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. 3p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 3p + 0 = 0 + -8q 3p = 0 + -8q Remove the zero: 3p = -8q Divide each side by '3'. p = -2.666666667q Simplifying p = -2.666666667q
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