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Simplifying 4i + 5k + 2i + 8k = 0 Reorder the terms: 4i + 2i + 5k + 8k = 0 Combine like terms: 4i + 2i = 6i 6i + 5k + 8k = 0 Combine like terms: 5k + 8k = 13k 6i + 13k = 0 Solving 6i + 13k = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13k' to each side of the equation. 6i + 13k + -13k = 0 + -13k Combine like terms: 13k + -13k = 0 6i + 0 = 0 + -13k 6i = 0 + -13k Remove the zero: 6i = -13k Divide each side by '6'. i = -2.166666667k Simplifying i = -2.166666667k
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