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Simplifying -2[(-3 + -2) + -2(-2 + m)] = -3m + -8 + -2 Combine like terms: -3 + -2 = -5 -2[(-5) + -2(-2 + m)] = -3m + -8 + -2 -2[-5 + -2(-2 + m)] = -3m + -8 + -2 -2[-5 + (-2 * -2 + m * -2)] = -3m + -8 + -2 -2[-5 + (4 + -2m)] = -3m + -8 + -2 Combine like terms: -5 + 4 = -1 -2[-1 + -2m] = -3m + -8 + -2 [-1 * -2 + -2m * -2] = -3m + -8 + -2 [2 + 4m] = -3m + -8 + -2 Reorder the terms: 2 + 4m = -8 + -2 + -3m Combine like terms: -8 + -2 = -10 2 + 4m = -10 + -3m Solving 2 + 4m = -10 + -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. 2 + 4m + 3m = -10 + -3m + 3m Combine like terms: 4m + 3m = 7m 2 + 7m = -10 + -3m + 3m Combine like terms: -3m + 3m = 0 2 + 7m = -10 + 0 2 + 7m = -10 Add '-2' to each side of the equation. 2 + -2 + 7m = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 7m = -10 + -2 7m = -10 + -2 Combine like terms: -10 + -2 = -12 7m = -12 Divide each side by '7'. m = -1.714285714 Simplifying m = -1.714285714
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