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Simplifying 0.2m + -4.6 = 2 + -0.4m Reorder the terms: -4.6 + 0.2m = 2 + -0.4m Solving -4.6 + 0.2m = 2 + -0.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.4m' to each side of the equation. -4.6 + 0.2m + 0.4m = 2 + -0.4m + 0.4m Combine like terms: 0.2m + 0.4m = 0.6m -4.6 + 0.6m = 2 + -0.4m + 0.4m Combine like terms: -0.4m + 0.4m = 0.0 -4.6 + 0.6m = 2 + 0.0 -4.6 + 0.6m = 2 Add '4.6' to each side of the equation. -4.6 + 4.6 + 0.6m = 2 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 0.6m = 2 + 4.6 0.6m = 2 + 4.6 Combine like terms: 2 + 4.6 = 6.6 0.6m = 6.6 Divide each side by '0.6'. m = 11 Simplifying m = 11
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