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Simplifying 2(2m + 11) = 31 + -3m Reorder the terms: 2(11 + 2m) = 31 + -3m (11 * 2 + 2m * 2) = 31 + -3m (22 + 4m) = 31 + -3m Solving 22 + 4m = 31 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 22 + 4m + 3m = 31 + -3m + 3m Combine like terms: 4m + 3m = 7m 22 + 7m = 31 + -3m + 3m Combine like terms: -3m + 3m = 0 22 + 7m = 31 + 0 22 + 7m = 31 Add '-22' to each side of the equation. 22 + -22 + 7m = 31 + -22 Combine like terms: 22 + -22 = 0 0 + 7m = 31 + -22 7m = 31 + -22 Combine like terms: 31 + -22 = 9 7m = 9 Divide each side by '7'. m = 1.285714286 Simplifying m = 1.285714286
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