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Simplifying 2(4 + 2k) + 10 = I (4 * 2 + 2k * 2) + 10 = I (8 + 4k) + 10 = I Reorder the terms: 8 + 10 + 4k = I Combine like terms: 8 + 10 = 18 18 + 4k = I Solving 18 + 4k = I Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4k = -18 + I Combine like terms: 18 + -18 = 0 0 + 4k = -18 + I 4k = -18 + I Divide each side by '4'. k = -4.5 + 0.25I Simplifying k = -4.5 + 0.25I
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