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Simplifying 7 + 4i + -1(-3 + -6i) = 0 7 + 4i + (-3 * -1 + -6i * -1) = 0 7 + 4i + (3 + 6i) = 0 Reorder the terms: 7 + 3 + 4i + 6i = 0 Combine like terms: 7 + 3 = 10 10 + 4i + 6i = 0 Combine like terms: 4i + 6i = 10i 10 + 10i = 0 Solving 10 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10i = 0 + -10 10i = 0 + -10 Combine like terms: 0 + -10 = -10 10i = -10 Divide each side by '10'. i = -1 Simplifying i = -1
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