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Simplifying (10 + -6i) = (9 + -3i) Remove parenthesis around (10 + -6i) 10 + -6i = (9 + -3i) Remove parenthesis around (9 + -3i) 10 + -6i = 9 + -3i Solving 10 + -6i = 9 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 10 + -6i + 3i = 9 + -3i + 3i Combine like terms: -6i + 3i = -3i 10 + -3i = 9 + -3i + 3i Combine like terms: -3i + 3i = 0 10 + -3i = 9 + 0 10 + -3i = 9 Add '-10' to each side of the equation. 10 + -10 + -3i = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -3i = 9 + -10 -3i = 9 + -10 Combine like terms: 9 + -10 = -1 -3i = -1 Divide each side by '-3'. i = 0.3333333333 Simplifying i = 0.3333333333
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