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Simplifying 2m + -1 = 6 + 11(m + 1) Reorder the terms: -1 + 2m = 6 + 11(m + 1) Reorder the terms: -1 + 2m = 6 + 11(1 + m) -1 + 2m = 6 + (1 * 11 + m * 11) -1 + 2m = 6 + (11 + 11m) Combine like terms: 6 + 11 = 17 -1 + 2m = 17 + 11m Solving -1 + 2m = 17 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -1 + 2m + -11m = 17 + 11m + -11m Combine like terms: 2m + -11m = -9m -1 + -9m = 17 + 11m + -11m Combine like terms: 11m + -11m = 0 -1 + -9m = 17 + 0 -1 + -9m = 17 Add '1' to each side of the equation. -1 + 1 + -9m = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -9m = 17 + 1 -9m = 17 + 1 Combine like terms: 17 + 1 = 18 -9m = 18 Divide each side by '-9'. m = -2 Simplifying m = -2
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