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Simplifying 0.5m + 6.4 = 4.9 + -0.1m Reorder the terms: 6.4 + 0.5m = 4.9 + -0.1m Solving 6.4 + 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. 6.4 + 0.5m + 0.1m = 4.9 + -0.1m + 0.1m Combine like terms: 0.5m + 0.1m = 0.6m 6.4 + 0.6m = 4.9 + -0.1m + 0.1m Combine like terms: -0.1m + 0.1m = 0.0 6.4 + 0.6m = 4.9 + 0.0 6.4 + 0.6m = 4.9 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 0.6m = 4.9 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 0.6m = 4.9 + -6.4 0.6m = 4.9 + -6.4 Combine like terms: 4.9 + -6.4 = -1.5 0.6m = -1.5 Divide each side by '0.6'. m = -2.5 Simplifying m = -2.5
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