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Simplifying 0.5m + 6.4 = 4.9 + -0.1 Reorder the terms: 6.4 + 0.5m = 4.9 + -0.1 Combine like terms: 4.9 + -0.1 = 4.8 6.4 + 0.5m = 4.8 Solving 6.4 + 0.5m = 4.8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6.4' to each side of the equation. 6.4 + -6.4 + 0.5m = 4.8 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 0.5m = 4.8 + -6.4 0.5m = 4.8 + -6.4 Combine like terms: 4.8 + -6.4 = -1.6 0.5m = -1.6 Divide each side by '0.5'. m = -3.2 Simplifying m = -3.2
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