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Simplifying 4k(2 + 3a + b) = 0 (2 * 4k + 3a * 4k + b * 4k) = 0 Reorder the terms: (12ak + 4bk + 8k) = 0 (12ak + 4bk + 8k) = 0 Solving 12ak + 4bk + 8k = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4bk' to each side of the equation. 12ak + 4bk + -4bk + 8k = 0 + -4bk Combine like terms: 4bk + -4bk = 0 12ak + 0 + 8k = 0 + -4bk 12ak + 8k = 0 + -4bk Remove the zero: 12ak + 8k = -4bk Add '-8k' to each side of the equation. 12ak + 8k + -8k = -4bk + -8k Combine like terms: 8k + -8k = 0 12ak + 0 = -4bk + -8k 12ak = -4bk + -8k Divide each side by '12k'. a = -0.3333333333b + -0.6666666667 Simplifying a = -0.3333333333b + -0.6666666667 Reorder the terms: a = -0.6666666667 + -0.3333333333b
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