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Simplifying 11m + -1(2 + -9m) = 6m + -1[9m + -4(m + 2)] 11m + (2 * -1 + -9m * -1) = 6m + -1[9m + -4(m + 2)] 11m + (-2 + 9m) = 6m + -1[9m + -4(m + 2)] Reorder the terms: -2 + 11m + 9m = 6m + -1[9m + -4(m + 2)] Combine like terms: 11m + 9m = 20m -2 + 20m = 6m + -1[9m + -4(m + 2)] Reorder the terms: -2 + 20m = 6m + -1[9m + -4(2 + m)] -2 + 20m = 6m + -1[9m + (2 * -4 + m * -4)] -2 + 20m = 6m + -1[9m + (-8 + -4m)] Reorder the terms: -2 + 20m = 6m + -1[-8 + 9m + -4m] Combine like terms: 9m + -4m = 5m -2 + 20m = 6m + -1[-8 + 5m] -2 + 20m = 6m + [-8 * -1 + 5m * -1] -2 + 20m = 6m + [8 + -5m] Reorder the terms: -2 + 20m = 8 + 6m + -5m Combine like terms: 6m + -5m = 1m -2 + 20m = 8 + 1m Solving -2 + 20m = 8 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -2 + 20m + -1m = 8 + 1m + -1m Combine like terms: 20m + -1m = 19m -2 + 19m = 8 + 1m + -1m Combine like terms: 1m + -1m = 0 -2 + 19m = 8 + 0 -2 + 19m = 8 Add '2' to each side of the equation. -2 + 2 + 19m = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 19m = 8 + 2 19m = 8 + 2 Combine like terms: 8 + 2 = 10 19m = 10 Divide each side by '19'. m = 0.5263157895 Simplifying m = 0.5263157895
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