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Simplifying -2(3p + -1q) + 5(2p + q) = 0 (3p * -2 + -1q * -2) + 5(2p + q) = 0 (-6p + 2q) + 5(2p + q) = 0 -6p + 2q + (2p * 5 + q * 5) = 0 -6p + 2q + (10p + 5q) = 0 Reorder the terms: -6p + 10p + 2q + 5q = 0 Combine like terms: -6p + 10p = 4p 4p + 2q + 5q = 0 Combine like terms: 2q + 5q = 7q 4p + 7q = 0 Solving 4p + 7q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7q' to each side of the equation. 4p + 7q + -7q = 0 + -7q Combine like terms: 7q + -7q = 0 4p + 0 = 0 + -7q 4p = 0 + -7q Remove the zero: 4p = -7q Divide each side by '4'. p = -1.75q Simplifying p = -1.75q
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