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Simplifying -1(p + -2q) + 3(2q + -4p) = 0 (p * -1 + -2q * -1) + 3(2q + -4p) = 0 (-1p + 2q) + 3(2q + -4p) = 0 Reorder the terms: -1p + 2q + 3(-4p + 2q) = 0 -1p + 2q + (-4p * 3 + 2q * 3) = 0 -1p + 2q + (-12p + 6q) = 0 Reorder the terms: -1p + -12p + 2q + 6q = 0 Combine like terms: -1p + -12p = -13p -13p + 2q + 6q = 0 Combine like terms: 2q + 6q = 8q -13p + 8q = 0 Solving -13p + 8q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. -13p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 -13p + 0 = 0 + -8q -13p = 0 + -8q Remove the zero: -13p = -8q Divide each side by '-13'. p = 0.6153846154q Simplifying p = 0.6153846154q
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