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Simplifying -9.2n + 7.5 + 18.3m + -9.1n + -13.1m = 0 Reorder the terms: 7.5 + 18.3m + -13.1m + -9.2n + -9.1n = 0 Combine like terms: 18.3m + -13.1m = 5.2m 7.5 + 5.2m + -9.2n + -9.1n = 0 Combine like terms: -9.2n + -9.1n = -18.3n 7.5 + 5.2m + -18.3n = 0 Solving 7.5 + 5.2m + -18.3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + 5.2m + -7.5 + -18.3n = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 5.2m + -18.3n = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 5.2m + -18.3n = 0 + -7.5 5.2m + -18.3n = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 5.2m + -18.3n = -7.5 Add '18.3n' to each side of the equation. 5.2m + -18.3n + 18.3n = -7.5 + 18.3n Combine like terms: -18.3n + 18.3n = 0.0 5.2m + 0.0 = -7.5 + 18.3n 5.2m = -7.5 + 18.3n Divide each side by '5.2'. m = -1.442307692 + 3.519230769n Simplifying m = -1.442307692 + 3.519230769n
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