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Simplifying 2p + 9q + -2(2p + -6q) = 0 2p + 9q + (2p * -2 + -6q * -2) = 0 2p + 9q + (-4p + 12q) = 0 Reorder the terms: 2p + -4p + 9q + 12q = 0 Combine like terms: 2p + -4p = -2p -2p + 9q + 12q = 0 Combine like terms: 9q + 12q = 21q -2p + 21q = 0 Solving -2p + 21q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21q' to each side of the equation. -2p + 21q + -21q = 0 + -21q Combine like terms: 21q + -21q = 0 -2p + 0 = 0 + -21q -2p = 0 + -21q Remove the zero: -2p = -21q Divide each side by '-2'. p = 10.5q Simplifying p = 10.5q
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