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Simplifying p(m + -1n) + 2q(m + -1n) = 0 (m * p + -1n * p) + 2q(m + -1n) = 0 (mp + -1np) + 2q(m + -1n) = 0 mp + -1np + (m * 2q + -1n * 2q) = 0 mp + -1np + (2mq + -2nq) = 0 Reorder the terms: mp + 2mq + -1np + -2nq = 0 Solving mp + 2mq + -1np + -2nq = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'np' to each side of the equation. mp + 2mq + -1np + np + -2nq = 0 + np Combine like terms: -1np + np = 0 mp + 2mq + 0 + -2nq = 0 + np mp + 2mq + -2nq = 0 + np Remove the zero: mp + 2mq + -2nq = np Add '2nq' to each side of the equation. mp + 2mq + -2nq + 2nq = np + 2nq Combine like terms: -2nq + 2nq = 0 mp + 2mq + 0 = np + 2nq mp + 2mq = np + 2nq Reorder the terms: mp + 2mq + -1np + -2nq = np + -1np + 2nq + -2nq Combine like terms: np + -1np = 0 mp + 2mq + -1np + -2nq = 0 + 2nq + -2nq mp + 2mq + -1np + -2nq = 2nq + -2nq Combine like terms: 2nq + -2nq = 0 mp + 2mq + -1np + -2nq = 0 The solution to this equation could not be determined.
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