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Simplifying 0.7(m + -2.3n) + -0.3(4m + -0.3n) = 0 (m * 0.7 + -2.3n * 0.7) + -0.3(4m + -0.3n) = 0 (0.7m + -1.61n) + -0.3(4m + -0.3n) = 0 0.7m + -1.61n + (4m * -0.3 + -0.3n * -0.3) = 0 0.7m + -1.61n + (-1.2m + 0.09n) = 0 Reorder the terms: 0.7m + -1.2m + -1.61n + 0.09n = 0 Combine like terms: 0.7m + -1.2m = -0.5m -0.5m + -1.61n + 0.09n = 0 Combine like terms: -1.61n + 0.09n = -1.52n -0.5m + -1.52n = 0 Solving -0.5m + -1.52n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.52n' to each side of the equation. -0.5m + -1.52n + 1.52n = 0 + 1.52n Combine like terms: -1.52n + 1.52n = 0.00 -0.5m + 0.00 = 0 + 1.52n -0.5m = 0 + 1.52n Remove the zero: -0.5m = 1.52n Divide each side by '-0.5'. m = -3.04n Simplifying m = -3.04n
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