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Simplifying -2(5 + -3m + n) = 0 (5 * -2 + -3m * -2 + n * -2) = 0 (-10 + 6m + -2n) = 0 Solving -10 + 6m + -2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6m + 10 + -2n = 0 + 10 Reorder the terms: -10 + 10 + 6m + -2n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6m + -2n = 0 + 10 6m + -2n = 0 + 10 Combine like terms: 0 + 10 = 10 6m + -2n = 10 Add '2n' to each side of the equation. 6m + -2n + 2n = 10 + 2n Combine like terms: -2n + 2n = 0 6m + 0 = 10 + 2n 6m = 10 + 2n Divide each side by '6'. m = 1.666666667 + 0.3333333333n Simplifying m = 1.666666667 + 0.3333333333n
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