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Simplifying -5m + -27 + -6(m + -3) = 3m + -1(8m + -1) + -9m + 2 Reorder the terms: -5m + -27 + -6(-3 + m) = 3m + -1(8m + -1) + -9m + 2 -5m + -27 + (-3 * -6 + m * -6) = 3m + -1(8m + -1) + -9m + 2 -5m + -27 + (18 + -6m) = 3m + -1(8m + -1) + -9m + 2 Reorder the terms: -27 + 18 + -5m + -6m = 3m + -1(8m + -1) + -9m + 2 Combine like terms: -27 + 18 = -9 -9 + -5m + -6m = 3m + -1(8m + -1) + -9m + 2 Combine like terms: -5m + -6m = -11m -9 + -11m = 3m + -1(8m + -1) + -9m + 2 Reorder the terms: -9 + -11m = 3m + -1(-1 + 8m) + -9m + 2 -9 + -11m = 3m + (-1 * -1 + 8m * -1) + -9m + 2 -9 + -11m = 3m + (1 + -8m) + -9m + 2 Reorder the terms: -9 + -11m = 1 + 2 + 3m + -8m + -9m Combine like terms: 1 + 2 = 3 -9 + -11m = 3 + 3m + -8m + -9m Combine like terms: 3m + -8m = -5m -9 + -11m = 3 + -5m + -9m Combine like terms: -5m + -9m = -14m -9 + -11m = 3 + -14m Solving -9 + -11m = 3 + -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. -9 + -11m + 14m = 3 + -14m + 14m Combine like terms: -11m + 14m = 3m -9 + 3m = 3 + -14m + 14m Combine like terms: -14m + 14m = 0 -9 + 3m = 3 + 0 -9 + 3m = 3 Add '9' to each side of the equation. -9 + 9 + 3m = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3m = 3 + 9 3m = 3 + 9 Combine like terms: 3 + 9 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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