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Simplifying 5(p + q) + 2(2p + 3q) = 0 (p * 5 + q * 5) + 2(2p + 3q) = 0 (5p + 5q) + 2(2p + 3q) = 0 5p + 5q + (2p * 2 + 3q * 2) = 0 5p + 5q + (4p + 6q) = 0 Reorder the terms: 5p + 4p + 5q + 6q = 0 Combine like terms: 5p + 4p = 9p 9p + 5q + 6q = 0 Combine like terms: 5q + 6q = 11q 9p + 11q = 0 Solving 9p + 11q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11q' to each side of the equation. 9p + 11q + -11q = 0 + -11q Combine like terms: 11q + -11q = 0 9p + 0 = 0 + -11q 9p = 0 + -11q Remove the zero: 9p = -11q Divide each side by '9'. p = -1.222222222q Simplifying p = -1.222222222q
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