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Simplifying 12 + 2m + -1[3m + -2(2m + -1)] = 0 Reorder the terms: 12 + 2m + -1[3m + -2(-1 + 2m)] = 0 12 + 2m + -1[3m + (-1 * -2 + 2m * -2)] = 0 12 + 2m + -1[3m + (2 + -4m)] = 0 Reorder the terms: 12 + 2m + -1[2 + 3m + -4m] = 0 Combine like terms: 3m + -4m = -1m 12 + 2m + -1[2 + -1m] = 0 12 + 2m + [2 * -1 + -1m * -1] = 0 12 + 2m + [-2 + 1m] = 0 Reorder the terms: 12 + -2 + 2m + 1m = 0 Combine like terms: 12 + -2 = 10 10 + 2m + 1m = 0 Combine like terms: 2m + 1m = 3m 10 + 3m = 0 Solving 10 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3m = 0 + -10 3m = 0 + -10 Combine like terms: 0 + -10 = -10 3m = -10 Divide each side by '3'. m = -3.333333333 Simplifying m = -3.333333333
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