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Simplifying (6 + -1i) + (-4 + 4i) = 0 Remove parenthesis around (6 + -1i) 6 + -1i + (-4 + 4i) = 0 Remove parenthesis around (-4 + 4i) 6 + -1i + -4 + 4i = 0 Reorder the terms: 6 + -4 + -1i + 4i = 0 Combine like terms: 6 + -4 = 2 2 + -1i + 4i = 0 Combine like terms: -1i + 4i = 3i 2 + 3i = 0 Solving 2 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3i = 0 + -2 3i = 0 + -2 Combine like terms: 0 + -2 = -2 3i = -2 Divide each side by '3'. i = -0.6666666667 Simplifying i = -0.6666666667
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