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Simplifying 4k + -1(5i + 2k) + 7i = 0 4k + (5i * -1 + 2k * -1) + 7i = 0 4k + (-5i + -2k) + 7i = 0 Reorder the terms: -5i + 7i + 4k + -2k = 0 Combine like terms: -5i + 7i = 2i 2i + 4k + -2k = 0 Combine like terms: 4k + -2k = 2k 2i + 2k = 0 Solving 2i + 2k = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2k' to each side of the equation. 2i + 2k + -2k = 0 + -2k Combine like terms: 2k + -2k = 0 2i + 0 = 0 + -2k 2i = 0 + -2k Remove the zero: 2i = -2k Divide each side by '2'. i = -1k Simplifying i = -1k
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