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Simplifying -1[2p + -1(-3p + 5q) + (-1q + 4p)] = 0 -1[2p + (-3p * -1 + 5q * -1) + (-1q + 4p)] = 0 -1[2p + (3p + -5q) + (-1q + 4p)] = 0 Reorder the terms: -1[2p + 3p + -5q + (4p + -1q)] = 0 Remove parenthesis around (4p + -1q) -1[2p + 3p + -5q + 4p + -1q] = 0 Reorder the terms: -1[2p + 3p + 4p + -5q + -1q] = 0 Combine like terms: 2p + 3p = 5p -1[5p + 4p + -5q + -1q] = 0 Combine like terms: 5p + 4p = 9p -1[9p + -5q + -1q] = 0 Combine like terms: -5q + -1q = -6q -1[9p + -6q] = 0 [9p * -1 + -6q * -1] = 0 [-9p + 6q] = 0 Solving -9p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6q' to each side of the equation. -9p + 6q + -6q = 0 + -6q Combine like terms: 6q + -6q = 0 -9p + 0 = 0 + -6q -9p = 0 + -6q Remove the zero: -9p = -6q Divide each side by '-9'. p = 0.6666666667q Simplifying p = 0.6666666667q
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