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Simplifying -4.7 + -9(8.2m + -6.1) = 9.7m + -1(1.9m + 6) Reorder the terms: -4.7 + -9(-6.1 + 8.2m) = 9.7m + -1(1.9m + 6) -4.7 + (-6.1 * -9 + 8.2m * -9) = 9.7m + -1(1.9m + 6) -4.7 + (54.9 + -73.8m) = 9.7m + -1(1.9m + 6) Combine like terms: -4.7 + 54.9 = 50.2 50.2 + -73.8m = 9.7m + -1(1.9m + 6) Reorder the terms: 50.2 + -73.8m = 9.7m + -1(6 + 1.9m) 50.2 + -73.8m = 9.7m + (6 * -1 + 1.9m * -1) 50.2 + -73.8m = 9.7m + (-6 + -1.9m) Reorder the terms: 50.2 + -73.8m = -6 + 9.7m + -1.9m Combine like terms: 9.7m + -1.9m = 7.8m 50.2 + -73.8m = -6 + 7.8m Solving 50.2 + -73.8m = -6 + 7.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7.8m' to each side of the equation. 50.2 + -73.8m + -7.8m = -6 + 7.8m + -7.8m Combine like terms: -73.8m + -7.8m = -81.6m 50.2 + -81.6m = -6 + 7.8m + -7.8m Combine like terms: 7.8m + -7.8m = 0.0 50.2 + -81.6m = -6 + 0.0 50.2 + -81.6m = -6 Add '-50.2' to each side of the equation. 50.2 + -50.2 + -81.6m = -6 + -50.2 Combine like terms: 50.2 + -50.2 = 0.0 0.0 + -81.6m = -6 + -50.2 -81.6m = -6 + -50.2 Combine like terms: -6 + -50.2 = -56.2 -81.6m = -56.2 Divide each side by '-81.6'. m = 0.6887254902 Simplifying m = 0.6887254902
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