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Simplifying (3 + -3i) + -2(3 + -1I) = 0 Remove parenthesis around (3 + -3i) 3 + -3i + -2(3 + -1I) = 0 3 + -3i + (3 * -2 + -1I * -2) = 0 3 + -3i + (-6 + 2I) = 0 Reorder the terms: 3 + -6 + 2I + -3i = 0 Combine like terms: 3 + -6 = -3 -3 + 2I + -3i = 0 Solving -3 + 2I + -3i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2I + 3 + -3i = 0 + 3 Reorder the terms: -3 + 3 + 2I + -3i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2I + -3i = 0 + 3 2I + -3i = 0 + 3 Combine like terms: 0 + 3 = 3 2I + -3i = 3 Add '3i' to each side of the equation. 2I + -3i + 3i = 3 + 3i Combine like terms: -3i + 3i = 0 2I + 0 = 3 + 3i 2I = 3 + 3i Divide each side by '2'. I = 1.5 + 1.5i Simplifying I = 1.5 + 1.5i
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