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Simplifying 0.5(2m + -3) + -0.8m = 2.7 Reorder the terms: 0.5(-3 + 2m) + -0.8m = 2.7 (-3 * 0.5 + 2m * 0.5) + -0.8m = 2.7 (-1.5 + 1m) + -0.8m = 2.7 Combine like terms: 1m + -0.8m = 0.2m -1.5 + 0.2m = 2.7 Solving -1.5 + 0.2m = 2.7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.2m = 2.7 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.2m = 2.7 + 1.5 0.2m = 2.7 + 1.5 Combine like terms: 2.7 + 1.5 = 4.2 0.2m = 4.2 Divide each side by '0.2'. m = 21 Simplifying m = 21
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