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Simplifying 0.5m + 6.4 = 4.9 + -1m Reorder the terms: 6.4 + 0.5m = 4.9 + -1m Solving 6.4 + 0.5m = 4.9 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 6.4 + 0.5m + m = 4.9 + -1m + m Combine like terms: 0.5m + m = 1.5m 6.4 + 1.5m = 4.9 + -1m + m Combine like terms: -1m + m = 0 6.4 + 1.5m = 4.9 + 0 6.4 + 1.5m = 4.9 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 1.5m = 4.9 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 1.5m = 4.9 + -6.4 1.5m = 4.9 + -6.4 Combine like terms: 4.9 + -6.4 = -1.5 1.5m = -1.5 Divide each side by '1.5'. m = -1 Simplifying m = -1
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