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Simplifying 0.6(2m + -3) + -0.8m = 2.7 Reorder the terms: 0.6(-3 + 2m) + -0.8m = 2.7 (-3 * 0.6 + 2m * 0.6) + -0.8m = 2.7 (-1.8 + 1.2m) + -0.8m = 2.7 Combine like terms: 1.2m + -0.8m = 0.4m -1.8 + 0.4m = 2.7 Solving -1.8 + 0.4m = 2.7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.4m = 2.7 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.4m = 2.7 + 1.8 0.4m = 2.7 + 1.8 Combine like terms: 2.7 + 1.8 = 4.5 0.4m = 4.5 Divide each side by '0.4'. m = 11.25 Simplifying m = 11.25
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