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Simplifying 2 = 11 + 3(m + 6) Reorder the terms: 2 = 11 + 3(6 + m) 2 = 11 + (6 * 3 + m * 3) 2 = 11 + (18 + 3m) Combine like terms: 11 + 18 = 29 2 = 29 + 3m Solving 2 = 29 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 2 + -3m = 29 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + -3m = 29 + 0 2 + -3m = 29 Add '-2' to each side of the equation. 2 + -2 + -3m = 29 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 29 + -2 -3m = 29 + -2 Combine like terms: 29 + -2 = 27 -3m = 27 Divide each side by '-3'. m = -9 Simplifying m = -9
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