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