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Simplifying 3(2 + -1(m + -2(8 + -3m))) = 0 3(2 + -1(m + (8 * -2 + -3m * -2))) = 0 3(2 + -1(m + (-16 + 6m))) = 0 Reorder the terms: 3(2 + -1(-16 + m + 6m)) = 0 Combine like terms: m + 6m = 7m 3(2 + -1(-16 + 7m)) = 0 3(2 + (-16 * -1 + 7m * -1)) = 0 3(2 + (16 + -7m)) = 0 Combine like terms: 2 + 16 = 18 3(18 + -7m) = 0 (18 * 3 + -7m * 3) = 0 (54 + -21m) = 0 Solving 54 + -21m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -21m = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -21m = 0 + -54 -21m = 0 + -54 Combine like terms: 0 + -54 = -54 -21m = -54 Divide each side by '-21'. m = 2.571428571 Simplifying m = 2.571428571
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