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Simplifying 5p + 2q + 7p + 3q = 0 Reorder the terms: 5p + 7p + 2q + 3q = 0 Combine like terms: 5p + 7p = 12p 12p + 2q + 3q = 0 Combine like terms: 2q + 3q = 5q 12p + 5q = 0 Solving 12p + 5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5q' to each side of the equation. 12p + 5q + -5q = 0 + -5q Combine like terms: 5q + -5q = 0 12p + 0 = 0 + -5q 12p = 0 + -5q Remove the zero: 12p = -5q Divide each side by '12'. p = -0.4166666667q Simplifying p = -0.4166666667q
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