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Simplifying 3 + 9m + -2 = 9m + 11 + -2m Reorder the terms: 3 + -2 + 9m = 9m + 11 + -2m Combine like terms: 3 + -2 = 1 1 + 9m = 9m + 11 + -2m Reorder the terms: 1 + 9m = 11 + 9m + -2m Combine like terms: 9m + -2m = 7m 1 + 9m = 11 + 7m Solving 1 + 9m = 11 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 1 + 9m + -7m = 11 + 7m + -7m Combine like terms: 9m + -7m = 2m 1 + 2m = 11 + 7m + -7m Combine like terms: 7m + -7m = 0 1 + 2m = 11 + 0 1 + 2m = 11 Add '-1' to each side of the equation. 1 + -1 + 2m = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 11 + -1 2m = 11 + -1 Combine like terms: 11 + -1 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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