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Simplifying 7 + 7i + 4k + -3 + 2k + 2i = 0 Reorder the terms: 7 + -3 + 7i + 2i + 4k + 2k = 0 Combine like terms: 7 + -3 = 4 4 + 7i + 2i + 4k + 2k = 0 Combine like terms: 7i + 2i = 9i 4 + 9i + 4k + 2k = 0 Combine like terms: 4k + 2k = 6k 4 + 9i + 6k = 0 Solving 4 + 9i + 6k = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 9i + -4 + 6k = 0 + -4 Reorder the terms: 4 + -4 + 9i + 6k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9i + 6k = 0 + -4 9i + 6k = 0 + -4 Combine like terms: 0 + -4 = -4 9i + 6k = -4 Add '-6k' to each side of the equation. 9i + 6k + -6k = -4 + -6k Combine like terms: 6k + -6k = 0 9i + 0 = -4 + -6k 9i = -4 + -6k Divide each side by '9'. i = -0.4444444444 + -0.6666666667k Simplifying i = -0.4444444444 + -0.6666666667k
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