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Simplifying -4p + -1q + -1(2p + -4q) = 0 -4p + -1q + (2p * -1 + -4q * -1) = 0 -4p + -1q + (-2p + 4q) = 0 Reorder the terms: -4p + -2p + -1q + 4q = 0 Combine like terms: -4p + -2p = -6p -6p + -1q + 4q = 0 Combine like terms: -1q + 4q = 3q -6p + 3q = 0 Solving -6p + 3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. -6p + 3q + -3q = 0 + -3q Combine like terms: 3q + -3q = 0 -6p + 0 = 0 + -3q -6p = 0 + -3q Remove the zero: -6p = -3q Divide each side by '-6'. p = 0.5q Simplifying p = 0.5q
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