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Simplifying -2m + -8 + -2(m + -1) = 8m + -1(6m + -3) + -9m + 9 Reorder the terms: -2m + -8 + -2(-1 + m) = 8m + -1(6m + -3) + -9m + 9 -2m + -8 + (-1 * -2 + m * -2) = 8m + -1(6m + -3) + -9m + 9 -2m + -8 + (2 + -2m) = 8m + -1(6m + -3) + -9m + 9 Reorder the terms: -8 + 2 + -2m + -2m = 8m + -1(6m + -3) + -9m + 9 Combine like terms: -8 + 2 = -6 -6 + -2m + -2m = 8m + -1(6m + -3) + -9m + 9 Combine like terms: -2m + -2m = -4m -6 + -4m = 8m + -1(6m + -3) + -9m + 9 Reorder the terms: -6 + -4m = 8m + -1(-3 + 6m) + -9m + 9 -6 + -4m = 8m + (-3 * -1 + 6m * -1) + -9m + 9 -6 + -4m = 8m + (3 + -6m) + -9m + 9 Reorder the terms: -6 + -4m = 3 + 9 + 8m + -6m + -9m Combine like terms: 3 + 9 = 12 -6 + -4m = 12 + 8m + -6m + -9m Combine like terms: 8m + -6m = 2m -6 + -4m = 12 + 2m + -9m Combine like terms: 2m + -9m = -7m -6 + -4m = 12 + -7m Solving -6 + -4m = 12 + -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. -6 + -4m + 7m = 12 + -7m + 7m Combine like terms: -4m + 7m = 3m -6 + 3m = 12 + -7m + 7m Combine like terms: -7m + 7m = 0 -6 + 3m = 12 + 0 -6 + 3m = 12 Add '6' to each side of the equation. -6 + 6 + 3m = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3m = 12 + 6 3m = 12 + 6 Combine like terms: 12 + 6 = 18 3m = 18 Divide each side by '3'. m = 6 Simplifying m = 6
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