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Simplifying -2m + -17 + -6(m + -1) = 3m + -1(8m + -1) + -9m + 6 Reorder the terms: -2m + -17 + -6(-1 + m) = 3m + -1(8m + -1) + -9m + 6 -2m + -17 + (-1 * -6 + m * -6) = 3m + -1(8m + -1) + -9m + 6 -2m + -17 + (6 + -6m) = 3m + -1(8m + -1) + -9m + 6 Reorder the terms: -17 + 6 + -2m + -6m = 3m + -1(8m + -1) + -9m + 6 Combine like terms: -17 + 6 = -11 -11 + -2m + -6m = 3m + -1(8m + -1) + -9m + 6 Combine like terms: -2m + -6m = -8m -11 + -8m = 3m + -1(8m + -1) + -9m + 6 Reorder the terms: -11 + -8m = 3m + -1(-1 + 8m) + -9m + 6 -11 + -8m = 3m + (-1 * -1 + 8m * -1) + -9m + 6 -11 + -8m = 3m + (1 + -8m) + -9m + 6 Reorder the terms: -11 + -8m = 1 + 6 + 3m + -8m + -9m Combine like terms: 1 + 6 = 7 -11 + -8m = 7 + 3m + -8m + -9m Combine like terms: 3m + -8m = -5m -11 + -8m = 7 + -5m + -9m Combine like terms: -5m + -9m = -14m -11 + -8m = 7 + -14m Solving -11 + -8m = 7 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. -11 + -8m + 14m = 7 + -14m + 14m Combine like terms: -8m + 14m = 6m -11 + 6m = 7 + -14m + 14m Combine like terms: -14m + 14m = 0 -11 + 6m = 7 + 0 -11 + 6m = 7 Add '11' to each side of the equation. -11 + 11 + 6m = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 6m = 7 + 11 6m = 7 + 11 Combine like terms: 7 + 11 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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