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Simplifying 30(0.13m + -0.35n) + -20(0.34m + 0.25n) = 0 (0.13m * 30 + -0.35n * 30) + -20(0.34m + 0.25n) = 0 (3.9m + -10.5n) + -20(0.34m + 0.25n) = 0 3.9m + -10.5n + (0.34m * -20 + 0.25n * -20) = 0 3.9m + -10.5n + (-6.8m + -5n) = 0 Reorder the terms: 3.9m + -6.8m + -10.5n + -5n = 0 Combine like terms: 3.9m + -6.8m = -2.9m -2.9m + -10.5n + -5n = 0 Combine like terms: -10.5n + -5n = -15.5n -2.9m + -15.5n = 0 Solving -2.9m + -15.5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15.5n' to each side of the equation. -2.9m + -15.5n + 15.5n = 0 + 15.5n Combine like terms: -15.5n + 15.5n = 0.0 -2.9m + 0.0 = 0 + 15.5n -2.9m = 0 + 15.5n Remove the zero: -2.9m = 15.5n Divide each side by '-2.9'. m = -5.344827586n Simplifying m = -5.344827586n
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