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Simplifying 8.2m + -3.1 = 3.2 + 9.1m Reorder the terms: -3.1 + 8.2m = 3.2 + 9.1m Solving -3.1 + 8.2m = 3.2 + 9.1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9.1m' to each side of the equation. -3.1 + 8.2m + -9.1m = 3.2 + 9.1m + -9.1m Combine like terms: 8.2m + -9.1m = -0.9m -3.1 + -0.9m = 3.2 + 9.1m + -9.1m Combine like terms: 9.1m + -9.1m = 0.0 -3.1 + -0.9m = 3.2 + 0.0 -3.1 + -0.9m = 3.2 Add '3.1' to each side of the equation. -3.1 + 3.1 + -0.9m = 3.2 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -0.9m = 3.2 + 3.1 -0.9m = 3.2 + 3.1 Combine like terms: 3.2 + 3.1 = 6.3 -0.9m = 6.3 Divide each side by '-0.9'. m = -7 Simplifying m = -7
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