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Simplifying -2[(m + -1)(-3) + -1] + -1[-1(-2)] = -1(-2 + -4m) Reorder the terms: -2[(-1 + m)(-3) + -1] + -1[-1(-2)] = -1(-2 + -4m) Reorder the terms for easier multiplication: -2[-3(-1 + m) + -1] + -1[-1(-2)] = -1(-2 + -4m) -2[(-1 * -3 + m * -3) + -1] + -1[-1(-2)] = -1(-2 + -4m) -2[(3 + -3m) + -1] + -1[-1(-2)] = -1(-2 + -4m) Reorder the terms: -2[3 + -1 + -3m] + -1[-1(-2)] = -1(-2 + -4m) Combine like terms: 3 + -1 = 2 -2[2 + -3m] + -1[-1(-2)] = -1(-2 + -4m) [2 * -2 + -3m * -2] + -1[-1(-2)] = -1(-2 + -4m) [-4 + 6m] + -1[-1(-2)] = -1(-2 + -4m) Multiply -1 * -2 -4 + 6m + -1[2] = -1(-2 + -4m) Multiply -1 * 2 -4 + 6m + -2 = -1(-2 + -4m) Reorder the terms: -4 + -2 + 6m = -1(-2 + -4m) Combine like terms: -4 + -2 = -6 -6 + 6m = -1(-2 + -4m) -6 + 6m = (-2 * -1 + -4m * -1) -6 + 6m = (2 + 4m) Solving -6 + 6m = 2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -6 + 6m + -4m = 2 + 4m + -4m Combine like terms: 6m + -4m = 2m -6 + 2m = 2 + 4m + -4m Combine like terms: 4m + -4m = 0 -6 + 2m = 2 + 0 -6 + 2m = 2 Add '6' to each side of the equation. -6 + 6 + 2m = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2m = 2 + 6 2m = 2 + 6 Combine like terms: 2 + 6 = 8 2m = 8 Divide each side by '2'. m = 4 Simplifying m = 4
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