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Simplifying -7n + 1.1 + 13.9m + -2.3n + -9.2m = 0 Reorder the terms: 1.1 + 13.9m + -9.2m + -7n + -2.3n = 0 Combine like terms: 13.9m + -9.2m = 4.7m 1.1 + 4.7m + -7n + -2.3n = 0 Combine like terms: -7n + -2.3n = -9.3n 1.1 + 4.7m + -9.3n = 0 Solving 1.1 + 4.7m + -9.3n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.1' to each side of the equation. 1.1 + 4.7m + -1.1 + -9.3n = 0 + -1.1 Reorder the terms: 1.1 + -1.1 + 4.7m + -9.3n = 0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 4.7m + -9.3n = 0 + -1.1 4.7m + -9.3n = 0 + -1.1 Combine like terms: 0 + -1.1 = -1.1 4.7m + -9.3n = -1.1 Add '9.3n' to each side of the equation. 4.7m + -9.3n + 9.3n = -1.1 + 9.3n Combine like terms: -9.3n + 9.3n = 0.0 4.7m + 0.0 = -1.1 + 9.3n 4.7m = -1.1 + 9.3n Divide each side by '4.7'. m = -0.2340425532 + 1.978723404n Simplifying m = -0.2340425532 + 1.978723404n
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