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Simplifying 0.5m + 8.4 = 4.9 + -0.1m Reorder the terms: 8.4 + 0.5m = 4.9 + -0.1m Solving 8.4 + 0.5m = 4.9 + -0.1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.1m' to each side of the equation. 8.4 + 0.5m + 0.1m = 4.9 + -0.1m + 0.1m Combine like terms: 0.5m + 0.1m = 0.6m 8.4 + 0.6m = 4.9 + -0.1m + 0.1m Combine like terms: -0.1m + 0.1m = 0.0 8.4 + 0.6m = 4.9 + 0.0 8.4 + 0.6m = 4.9 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 0.6m = 4.9 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 0.6m = 4.9 + -8.4 0.6m = 4.9 + -8.4 Combine like terms: 4.9 + -8.4 = -3.5 0.6m = -3.5 Divide each side by '0.6'. m = -5.833333333 Simplifying m = -5.833333333
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