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Simplifying 4p + -5q + -2(3p + -9q) = 0 4p + -5q + (3p * -2 + -9q * -2) = 0 4p + -5q + (-6p + 18q) = 0 Reorder the terms: 4p + -6p + -5q + 18q = 0 Combine like terms: 4p + -6p = -2p -2p + -5q + 18q = 0 Combine like terms: -5q + 18q = 13q -2p + 13q = 0 Solving -2p + 13q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13q' to each side of the equation. -2p + 13q + -13q = 0 + -13q Combine like terms: 13q + -13q = 0 -2p + 0 = 0 + -13q -2p = 0 + -13q Remove the zero: -2p = -13q Divide each side by '-2'. p = 6.5q Simplifying p = 6.5q
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