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Simplifying 4(0.2m + -0.3n) + -6(0.7m + -0.5n) = 0 (0.2m * 4 + -0.3n * 4) + -6(0.7m + -0.5n) = 0 (0.8m + -1.2n) + -6(0.7m + -0.5n) = 0 0.8m + -1.2n + (0.7m * -6 + -0.5n * -6) = 0 0.8m + -1.2n + (-4.2m + 3n) = 0 Reorder the terms: 0.8m + -4.2m + -1.2n + 3n = 0 Combine like terms: 0.8m + -4.2m = -3.4m -3.4m + -1.2n + 3n = 0 Combine like terms: -1.2n + 3n = 1.8n -3.4m + 1.8n = 0 Solving -3.4m + 1.8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.8n' to each side of the equation. -3.4m + 1.8n + -1.8n = 0 + -1.8n Combine like terms: 1.8n + -1.8n = 0.0 -3.4m + 0.0 = 0 + -1.8n -3.4m = 0 + -1.8n Remove the zero: -3.4m = -1.8n Divide each side by '-3.4'. m = 0.5294117647n Simplifying m = 0.5294117647n
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