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Simplifying 0.03(0.7m + 24n) + -0.9(-0.06n + -18m) = 0 (0.7m * 0.03 + 24n * 0.03) + -0.9(-0.06n + -18m) = 0 (0.021m + 0.72n) + -0.9(-0.06n + -18m) = 0 Reorder the terms: 0.021m + 0.72n + -0.9(-18m + -0.06n) = 0 0.021m + 0.72n + (-18m * -0.9 + -0.06n * -0.9) = 0 0.021m + 0.72n + (16.2m + 0.054n) = 0 Reorder the terms: 0.021m + 16.2m + 0.72n + 0.054n = 0 Combine like terms: 0.021m + 16.2m = 16.221m 16.221m + 0.72n + 0.054n = 0 Combine like terms: 0.72n + 0.054n = 0.774n 16.221m + 0.774n = 0 Solving 16.221m + 0.774n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.774n' to each side of the equation. 16.221m + 0.774n + -0.774n = 0 + -0.774n Combine like terms: 0.774n + -0.774n = 0.000 16.221m + 0.000 = 0 + -0.774n 16.221m = 0 + -0.774n Remove the zero: 16.221m = -0.774n Divide each side by '16.221'. m = -0.0477159238n Simplifying m = -0.0477159238n
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