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Simplifying 0.5m + -6 = 0.8m + 0.4 Reorder the terms: -6 + 0.5m = 0.8m + 0.4 Reorder the terms: -6 + 0.5m = 0.4 + 0.8m Solving -6 + 0.5m = 0.4 + 0.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.8m' to each side of the equation. -6 + 0.5m + -0.8m = 0.4 + 0.8m + -0.8m Combine like terms: 0.5m + -0.8m = -0.3m -6 + -0.3m = 0.4 + 0.8m + -0.8m Combine like terms: 0.8m + -0.8m = 0.0 -6 + -0.3m = 0.4 + 0.0 -6 + -0.3m = 0.4 Add '6' to each side of the equation. -6 + 6 + -0.3m = 0.4 + 6 Combine like terms: -6 + 6 = 0 0 + -0.3m = 0.4 + 6 -0.3m = 0.4 + 6 Combine like terms: 0.4 + 6 = 6.4 -0.3m = 6.4 Divide each side by '-0.3'. m = -21.33333333 Simplifying m = -21.33333333
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