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Simplifying 7p + 5(p + -1q) = 0 7p + (p * 5 + -1q * 5) = 0 7p + (5p + -5q) = 0 Combine like terms: 7p + 5p = 12p 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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