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Simplifying -4.7m + -9(8.2m + -6.1) = 9.7m + -1(1.9m + 6) Reorder the terms: -4.7m + -9(-6.1 + 8.2m) = 9.7m + -1(1.9m + 6) -4.7m + (-6.1 * -9 + 8.2m * -9) = 9.7m + -1(1.9m + 6) -4.7m + (54.9 + -73.8m) = 9.7m + -1(1.9m + 6) Reorder the terms: 54.9 + -4.7m + -73.8m = 9.7m + -1(1.9m + 6) Combine like terms: -4.7m + -73.8m = -78.5m 54.9 + -78.5m = 9.7m + -1(1.9m + 6) Reorder the terms: 54.9 + -78.5m = 9.7m + -1(6 + 1.9m) 54.9 + -78.5m = 9.7m + (6 * -1 + 1.9m * -1) 54.9 + -78.5m = 9.7m + (-6 + -1.9m) Reorder the terms: 54.9 + -78.5m = -6 + 9.7m + -1.9m Combine like terms: 9.7m + -1.9m = 7.8m 54.9 + -78.5m = -6 + 7.8m Solving 54.9 + -78.5m = -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. 54.9 + -78.5m + -7.8m = -6 + 7.8m + -7.8m Combine like terms: -78.5m + -7.8m = -86.3m 54.9 + -86.3m = -6 + 7.8m + -7.8m Combine like terms: 7.8m + -7.8m = 0.0 54.9 + -86.3m = -6 + 0.0 54.9 + -86.3m = -6 Add '-54.9' to each side of the equation. 54.9 + -54.9 + -86.3m = -6 + -54.9 Combine like terms: 54.9 + -54.9 = 0.0 0.0 + -86.3m = -6 + -54.9 -86.3m = -6 + -54.9 Combine like terms: -6 + -54.9 = -60.9 -86.3m = -60.9 Divide each side by '-86.3'. m = 0.7056778679 Simplifying m = 0.7056778679
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