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Simplifying -6m + 11 + -7(m + -1) = 4m + -1(5m + -2) + -9m + 1 Reorder the terms: -6m + 11 + -7(-1 + m) = 4m + -1(5m + -2) + -9m + 1 -6m + 11 + (-1 * -7 + m * -7) = 4m + -1(5m + -2) + -9m + 1 -6m + 11 + (7 + -7m) = 4m + -1(5m + -2) + -9m + 1 Reorder the terms: 11 + 7 + -6m + -7m = 4m + -1(5m + -2) + -9m + 1 Combine like terms: 11 + 7 = 18 18 + -6m + -7m = 4m + -1(5m + -2) + -9m + 1 Combine like terms: -6m + -7m = -13m 18 + -13m = 4m + -1(5m + -2) + -9m + 1 Reorder the terms: 18 + -13m = 4m + -1(-2 + 5m) + -9m + 1 18 + -13m = 4m + (-2 * -1 + 5m * -1) + -9m + 1 18 + -13m = 4m + (2 + -5m) + -9m + 1 Reorder the terms: 18 + -13m = 2 + 1 + 4m + -5m + -9m Combine like terms: 2 + 1 = 3 18 + -13m = 3 + 4m + -5m + -9m Combine like terms: 4m + -5m = -1m 18 + -13m = 3 + -1m + -9m Combine like terms: -1m + -9m = -10m 18 + -13m = 3 + -10m Solving 18 + -13m = 3 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 18 + -13m + 10m = 3 + -10m + 10m Combine like terms: -13m + 10m = -3m 18 + -3m = 3 + -10m + 10m Combine like terms: -10m + 10m = 0 18 + -3m = 3 + 0 18 + -3m = 3 Add '-18' to each side of the equation. 18 + -18 + -3m = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -3m = 3 + -18 -3m = 3 + -18 Combine like terms: 3 + -18 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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