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Simplifying 11m + -1(2 + -9m) = 6m + -9m + -4(m + 2) 11m + (2 * -1 + -9m * -1) = 6m + -9m + -4(m + 2) 11m + (-2 + 9m) = 6m + -9m + -4(m + 2) Reorder the terms: -2 + 11m + 9m = 6m + -9m + -4(m + 2) Combine like terms: 11m + 9m = 20m -2 + 20m = 6m + -9m + -4(m + 2) Reorder the terms: -2 + 20m = 6m + -9m + -4(2 + m) -2 + 20m = 6m + -9m + (2 * -4 + m * -4) -2 + 20m = 6m + -9m + (-8 + -4m) Reorder the terms: -2 + 20m = -8 + 6m + -9m + -4m Combine like terms: 6m + -9m = -3m -2 + 20m = -8 + -3m + -4m Combine like terms: -3m + -4m = -7m -2 + 20m = -8 + -7m Solving -2 + 20m = -8 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. -2 + 20m + 7m = -8 + -7m + 7m Combine like terms: 20m + 7m = 27m -2 + 27m = -8 + -7m + 7m Combine like terms: -7m + 7m = 0 -2 + 27m = -8 + 0 -2 + 27m = -8 Add '2' to each side of the equation. -2 + 2 + 27m = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 27m = -8 + 2 27m = -8 + 2 Combine like terms: -8 + 2 = -6 27m = -6 Divide each side by '27'. m = -0.2222222222 Simplifying m = -0.2222222222
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