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Simplifying -2m + -11 + -4(m + -2) = 5m + -1(4m + -1) + -9m + 4 Reorder the terms: -2m + -11 + -4(-2 + m) = 5m + -1(4m + -1) + -9m + 4 -2m + -11 + (-2 * -4 + m * -4) = 5m + -1(4m + -1) + -9m + 4 -2m + -11 + (8 + -4m) = 5m + -1(4m + -1) + -9m + 4 Reorder the terms: -11 + 8 + -2m + -4m = 5m + -1(4m + -1) + -9m + 4 Combine like terms: -11 + 8 = -3 -3 + -2m + -4m = 5m + -1(4m + -1) + -9m + 4 Combine like terms: -2m + -4m = -6m -3 + -6m = 5m + -1(4m + -1) + -9m + 4 Reorder the terms: -3 + -6m = 5m + -1(-1 + 4m) + -9m + 4 -3 + -6m = 5m + (-1 * -1 + 4m * -1) + -9m + 4 -3 + -6m = 5m + (1 + -4m) + -9m + 4 Reorder the terms: -3 + -6m = 1 + 4 + 5m + -4m + -9m Combine like terms: 1 + 4 = 5 -3 + -6m = 5 + 5m + -4m + -9m Combine like terms: 5m + -4m = 1m -3 + -6m = 5 + 1m + -9m Combine like terms: 1m + -9m = -8m -3 + -6m = 5 + -8m Solving -3 + -6m = 5 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -3 + -6m + 8m = 5 + -8m + 8m Combine like terms: -6m + 8m = 2m -3 + 2m = 5 + -8m + 8m Combine like terms: -8m + 8m = 0 -3 + 2m = 5 + 0 -3 + 2m = 5 Add '3' to each side of the equation. -3 + 3 + 2m = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 5 + 3 2m = 5 + 3 Combine like terms: 5 + 3 = 8 2m = 8 Divide each side by '2'. m = 4 Simplifying m = 4
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