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Simplifying 3(3q + -1p) + -1(q + -6p) = 0 Reorder the terms: 3(-1p + 3q) + -1(q + -6p) = 0 (-1p * 3 + 3q * 3) + -1(q + -6p) = 0 (-3p + 9q) + -1(q + -6p) = 0 Reorder the terms: -3p + 9q + -1(-6p + q) = 0 -3p + 9q + (-6p * -1 + q * -1) = 0 -3p + 9q + (6p + -1q) = 0 Reorder the terms: -3p + 6p + 9q + -1q = 0 Combine like terms: -3p + 6p = 3p 3p + 9q + -1q = 0 Combine like terms: 9q + -1q = 8q 3p + 8q = 0 Solving 3p + 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. 3p + 8q + -8q = 0 + -8q Combine like terms: 8q + -8q = 0 3p + 0 = 0 + -8q 3p = 0 + -8q Remove the zero: 3p = -8q Divide each side by '3'. p = -2.666666667q Simplifying p = -2.666666667q
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