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Simplifying 4 + 9m + -2 = 9m + 23 + -3m Reorder the terms: 4 + -2 + 9m = 9m + 23 + -3m Combine like terms: 4 + -2 = 2 2 + 9m = 9m + 23 + -3m Reorder the terms: 2 + 9m = 23 + 9m + -3m Combine like terms: 9m + -3m = 6m 2 + 9m = 23 + 6m Solving 2 + 9m = 23 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 2 + 9m + -6m = 23 + 6m + -6m Combine like terms: 9m + -6m = 3m 2 + 3m = 23 + 6m + -6m Combine like terms: 6m + -6m = 0 2 + 3m = 23 + 0 2 + 3m = 23 Add '-2' to each side of the equation. 2 + -2 + 3m = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 23 + -2 3m = 23 + -2 Combine like terms: 23 + -2 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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