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Simplifying -6.1n + 2.4 + 13.7m + -1.3n + -4.5m = 0 Reorder the terms: 2.4 + 13.7m + -4.5m + -6.1n + -1.3n = 0 Combine like terms: 13.7m + -4.5m = 9.2m 2.4 + 9.2m + -6.1n + -1.3n = 0 Combine like terms: -6.1n + -1.3n = -7.4n 2.4 + 9.2m + -7.4n = 0 Solving 2.4 + 9.2m + -7.4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + 9.2m + -2.4 + -7.4n = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + 9.2m + -7.4n = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 9.2m + -7.4n = 0 + -2.4 9.2m + -7.4n = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 9.2m + -7.4n = -2.4 Add '7.4n' to each side of the equation. 9.2m + -7.4n + 7.4n = -2.4 + 7.4n Combine like terms: -7.4n + 7.4n = 0.0 9.2m + 0.0 = -2.4 + 7.4n 9.2m = -2.4 + 7.4n Divide each side by '9.2'. m = -0.2608695652 + 0.8043478261n Simplifying m = -0.2608695652 + 0.8043478261n
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