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Simplifying 0.4m + 8 = 0.6m + -7 Reorder the terms: 8 + 0.4m = 0.6m + -7 Reorder the terms: 8 + 0.4m = -7 + 0.6m Solving 8 + 0.4m = -7 + 0.6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.6m' to each side of the equation. 8 + 0.4m + -0.6m = -7 + 0.6m + -0.6m Combine like terms: 0.4m + -0.6m = -0.2m 8 + -0.2m = -7 + 0.6m + -0.6m Combine like terms: 0.6m + -0.6m = 0.0 8 + -0.2m = -7 + 0.0 8 + -0.2m = -7 Add '-8' to each side of the equation. 8 + -8 + -0.2m = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.2m = -7 + -8 -0.2m = -7 + -8 Combine like terms: -7 + -8 = -15 -0.2m = -15 Divide each side by '-0.2'. m = 75 Simplifying m = 75
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