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Simplifying 0.125m + 0.4 + 0.5m = 0.375m + 0.75m Reorder the terms: 0.4 + 0.125m + 0.5m = 0.375m + 0.75m Combine like terms: 0.125m + 0.5m = 0.625m 0.4 + 0.625m = 0.375m + 0.75m Combine like terms: 0.375m + 0.75m = 1.125m 0.4 + 0.625m = 1.125m Solving 0.4 + 0.625m = 1.125m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.125m' to each side of the equation. 0.4 + 0.625m + -1.125m = 1.125m + -1.125m Combine like terms: 0.625m + -1.125m = -0.5m 0.4 + -0.5m = 1.125m + -1.125m Combine like terms: 1.125m + -1.125m = 0.000 0.4 + -0.5m = 0.000 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.5m = 0.000 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.5m = 0.000 + -0.4 -0.5m = 0.000 + -0.4 Combine like terms: 0.000 + -0.4 = -0.4 -0.5m = -0.4 Divide each side by '-0.5'. m = 0.8 Simplifying m = 0.8
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