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Simplifying -10(3p + -7q) + 50q + -30p = 0 (3p * -10 + -7q * -10) + 50q + -30p = 0 (-30p + 70q) + 50q + -30p = 0 Reorder the terms: -30p + -30p + 70q + 50q = 0 Combine like terms: -30p + -30p = -60p -60p + 70q + 50q = 0 Combine like terms: 70q + 50q = 120q -60p + 120q = 0 Solving -60p + 120q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-120q' to each side of the equation. -60p + 120q + -120q = 0 + -120q Combine like terms: 120q + -120q = 0 -60p + 0 = 0 + -120q -60p = 0 + -120q Remove the zero: -60p = -120q Divide each side by '-60'. p = 2q Simplifying p = 2q
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