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Simplifying 3(p + -2q) + -1(5q + -2p) = 0 (p * 3 + -2q * 3) + -1(5q + -2p) = 0 (3p + -6q) + -1(5q + -2p) = 0 Reorder the terms: 3p + -6q + -1(-2p + 5q) = 0 3p + -6q + (-2p * -1 + 5q * -1) = 0 3p + -6q + (2p + -5q) = 0 Reorder the terms: 3p + 2p + -6q + -5q = 0 Combine like terms: 3p + 2p = 5p 5p + -6q + -5q = 0 Combine like terms: -6q + -5q = -11q 5p + -11q = 0 Solving 5p + -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. 5p + -11q + 11q = 0 + 11q Combine like terms: -11q + 11q = 0 5p + 0 = 0 + 11q 5p = 0 + 11q Remove the zero: 5p = 11q Divide each side by '5'. p = 2.2q Simplifying p = 2.2q
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