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Simplifying 3k(2 + b + 4a) = 0 Reorder the terms: 3k(2 + 4a + b) = 0 (2 * 3k + 4a * 3k + b * 3k) = 0 Reorder the terms: (12ak + 3bk + 6k) = 0 (12ak + 3bk + 6k) = 0 Solving 12ak + 3bk + 6k = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bk' to each side of the equation. 12ak + 3bk + -3bk + 6k = 0 + -3bk Combine like terms: 3bk + -3bk = 0 12ak + 0 + 6k = 0 + -3bk 12ak + 6k = 0 + -3bk Remove the zero: 12ak + 6k = -3bk Add '-6k' to each side of the equation. 12ak + 6k + -6k = -3bk + -6k Combine like terms: 6k + -6k = 0 12ak + 0 = -3bk + -6k 12ak = -3bk + -6k Divide each side by '12k'. a = -0.25b + -0.5 Simplifying a = -0.25b + -0.5 Reorder the terms: a = -0.5 + -0.25b
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