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Simplifying (7 + -2i) + -1(6 + 3i) = 0 Remove parenthesis around (7 + -2i) 7 + -2i + -1(6 + 3i) = 0 7 + -2i + (6 * -1 + 3i * -1) = 0 7 + -2i + (-6 + -3i) = 0 Reorder the terms: 7 + -6 + -2i + -3i = 0 Combine like terms: 7 + -6 = 1 1 + -2i + -3i = 0 Combine like terms: -2i + -3i = -5i 1 + -5i = 0 Solving 1 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5i = 0 + -1 -5i = 0 + -1 Combine like terms: 0 + -1 = -1 -5i = -1 Divide each side by '-5'. i = 0.2 Simplifying i = 0.2
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