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Simplifying 24 + -3.4m + 6 = 2.7m + -9.1 + -4.2m Reorder the terms: 24 + 6 + -3.4m = 2.7m + -9.1 + -4.2m Combine like terms: 24 + 6 = 30 30 + -3.4m = 2.7m + -9.1 + -4.2m Reorder the terms: 30 + -3.4m = -9.1 + 2.7m + -4.2m Combine like terms: 2.7m + -4.2m = -1.5m 30 + -3.4m = -9.1 + -1.5m Solving 30 + -3.4m = -9.1 + -1.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.5m' to each side of the equation. 30 + -3.4m + 1.5m = -9.1 + -1.5m + 1.5m Combine like terms: -3.4m + 1.5m = -1.9m 30 + -1.9m = -9.1 + -1.5m + 1.5m Combine like terms: -1.5m + 1.5m = 0.0 30 + -1.9m = -9.1 + 0.0 30 + -1.9m = -9.1 Add '-30' to each side of the equation. 30 + -30 + -1.9m = -9.1 + -30 Combine like terms: 30 + -30 = 0 0 + -1.9m = -9.1 + -30 -1.9m = -9.1 + -30 Combine like terms: -9.1 + -30 = -39.1 -1.9m = -39.1 Divide each side by '-1.9'. m = 20.57894737 Simplifying m = 20.57894737
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