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Simplifying 11.4 + -0.9 + 1.6 + -0.8m = 17 + -1.7m + -7.2 Combine like terms: 11.4 + -0.9 = 10.5 10.5 + 1.6 + -0.8m = 17 + -1.7m + -7.2 Combine like terms: 10.5 + 1.6 = 12.1 12.1 + -0.8m = 17 + -1.7m + -7.2 Reorder the terms: 12.1 + -0.8m = 17 + -7.2 + -1.7m Combine like terms: 17 + -7.2 = 9.8 12.1 + -0.8m = 9.8 + -1.7m Solving 12.1 + -0.8m = 9.8 + -1.7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.7m' to each side of the equation. 12.1 + -0.8m + 1.7m = 9.8 + -1.7m + 1.7m Combine like terms: -0.8m + 1.7m = 0.9m 12.1 + 0.9m = 9.8 + -1.7m + 1.7m Combine like terms: -1.7m + 1.7m = 0.0 12.1 + 0.9m = 9.8 + 0.0 12.1 + 0.9m = 9.8 Add '-12.1' to each side of the equation. 12.1 + -12.1 + 0.9m = 9.8 + -12.1 Combine like terms: 12.1 + -12.1 = 0.0 0.0 + 0.9m = 9.8 + -12.1 0.9m = 9.8 + -12.1 Combine like terms: 9.8 + -12.1 = -2.3 0.9m = -2.3 Divide each side by '0.9'. m = -2.555555556 Simplifying m = -2.555555556
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