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Simplifying p(4m + -1n) + -2p(m + 2n) = 0 (4m * p + -1n * p) + -2p(m + 2n) = 0 (4mp + -1np) + -2p(m + 2n) = 0 4mp + -1np + (m * -2p + 2n * -2p) = 0 4mp + -1np + (-2mp + -4np) = 0 Reorder the terms: 4mp + -2mp + -1np + -4np = 0 Combine like terms: 4mp + -2mp = 2mp 2mp + -1np + -4np = 0 Combine like terms: -1np + -4np = -5np 2mp + -5np = 0 Solving 2mp + -5np = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5np' to each side of the equation. 2mp + -5np + 5np = 0 + 5np Combine like terms: -5np + 5np = 0 2mp + 0 = 0 + 5np 2mp = 0 + 5np Remove the zero: 2mp = 5np Divide each side by '2p'. m = 2.5n Simplifying m = 2.5n
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