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Simplifying 7 + -1(3 + 4i) + 6i = 0 7 + (3 * -1 + 4i * -1) + 6i = 0 7 + (-3 + -4i) + 6i = 0 Combine like terms: 7 + -3 = 4 4 + -4i + 6i = 0 Combine like terms: -4i + 6i = 2i 4 + 2i = 0 Solving 4 + 2i = 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 + -4 + 2i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2i = 0 + -4 2i = 0 + -4 Combine like terms: 0 + -4 = -4 2i = -4 Divide each side by '2'. i = -2 Simplifying i = -2
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