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Simplifying 0.5m + 3 = 0.2m + 5 Reorder the terms: 3 + 0.5m = 0.2m + 5 Reorder the terms: 3 + 0.5m = 5 + 0.2m Solving 3 + 0.5m = 5 + 0.2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.2m' to each side of the equation. 3 + 0.5m + -0.2m = 5 + 0.2m + -0.2m Combine like terms: 0.5m + -0.2m = 0.3m 3 + 0.3m = 5 + 0.2m + -0.2m Combine like terms: 0.2m + -0.2m = 0.0 3 + 0.3m = 5 + 0.0 3 + 0.3m = 5 Add '-3' to each side of the equation. 3 + -3 + 0.3m = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 0.3m = 5 + -3 0.3m = 5 + -3 Combine like terms: 5 + -3 = 2 0.3m = 2 Divide each side by '0.3'. m = 6.666666667 Simplifying m = 6.666666667
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