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Simplifying 2.7m + 3.9n + -4.6m + 6.2 + -8.5 = 0 Reorder the terms: 6.2 + -8.5 + 2.7m + -4.6m + 3.9n = 0 Combine like terms: 6.2 + -8.5 = -2.3 -2.3 + 2.7m + -4.6m + 3.9n = 0 Combine like terms: 2.7m + -4.6m = -1.9m -2.3 + -1.9m + 3.9n = 0 Solving -2.3 + -1.9m + 3.9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + -1.9m + 2.3 + 3.9n = 0 + 2.3 Reorder the terms: -2.3 + 2.3 + -1.9m + 3.9n = 0 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + -1.9m + 3.9n = 0 + 2.3 -1.9m + 3.9n = 0 + 2.3 Combine like terms: 0 + 2.3 = 2.3 -1.9m + 3.9n = 2.3 Add '-3.9n' to each side of the equation. -1.9m + 3.9n + -3.9n = 2.3 + -3.9n Combine like terms: 3.9n + -3.9n = 0.0 -1.9m + 0.0 = 2.3 + -3.9n -1.9m = 2.3 + -3.9n Divide each side by '-1.9'. m = -1.210526316 + 2.052631579n Simplifying m = -1.210526316 + 2.052631579n
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