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