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Simplifying 27 = 6(3 + 0.5m) + -2m 27 = (3 * 6 + 0.5m * 6) + -2m 27 = (18 + 3m) + -2m Combine like terms: 3m + -2m = 1m 27 = 18 + 1m Solving 27 = 18 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 27 + -1m = 18 + 1m + -1m Combine like terms: 1m + -1m = 0 27 + -1m = 18 + 0 27 + -1m = 18 Add '-27' to each side of the equation. 27 + -27 + -1m = 18 + -27 Combine like terms: 27 + -27 = 0 0 + -1m = 18 + -27 -1m = 18 + -27 Combine like terms: 18 + -27 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9
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