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Simplifying -7.6n + 7.9 + 13.4m + -3.5n + -8.1m = 0 Reorder the terms: 7.9 + 13.4m + -8.1m + -7.6n + -3.5n = 0 Combine like terms: 13.4m + -8.1m = 5.3m 7.9 + 5.3m + -7.6n + -3.5n = 0 Combine like terms: -7.6n + -3.5n = -11.1n 7.9 + 5.3m + -11.1n = 0 Solving 7.9 + 5.3m + -11.1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7.9' to each side of the equation. 7.9 + 5.3m + -7.9 + -11.1n = 0 + -7.9 Reorder the terms: 7.9 + -7.9 + 5.3m + -11.1n = 0 + -7.9 Combine like terms: 7.9 + -7.9 = 0.0 0.0 + 5.3m + -11.1n = 0 + -7.9 5.3m + -11.1n = 0 + -7.9 Combine like terms: 0 + -7.9 = -7.9 5.3m + -11.1n = -7.9 Add '11.1n' to each side of the equation. 5.3m + -11.1n + 11.1n = -7.9 + 11.1n Combine like terms: -11.1n + 11.1n = 0.0 5.3m + 0.0 = -7.9 + 11.1n 5.3m = -7.9 + 11.1n Divide each side by '5.3'. m = -1.490566038 + 2.094339623n Simplifying m = -1.490566038 + 2.094339623n
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