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Simplifying (7 + 2i) + -1(-4 + -1i) = 0 Remove parenthesis around (7 + 2i) 7 + 2i + -1(-4 + -1i) = 0 7 + 2i + (-4 * -1 + -1i * -1) = 0 7 + 2i + (4 + 1i) = 0 Reorder the terms: 7 + 4 + 2i + 1i = 0 Combine like terms: 7 + 4 = 11 11 + 2i + 1i = 0 Combine like terms: 2i + 1i = 3i 11 + 3i = 0 Solving 11 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3i = 0 + -11 3i = 0 + -11 Combine like terms: 0 + -11 = -11 3i = -11 Divide each side by '3'. i = -3.666666667 Simplifying i = -3.666666667
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