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Simplifying -1I + (7 + -5i) + -3(2 + -3i) = 0 Remove parenthesis around (7 + -5i) -1I + 7 + -5i + -3(2 + -3i) = 0 -1I + 7 + -5i + (2 * -3 + -3i * -3) = 0 -1I + 7 + -5i + (-6 + 9i) = 0 Reorder the terms: 7 + -6 + -1I + -5i + 9i = 0 Combine like terms: 7 + -6 = 1 1 + -1I + -5i + 9i = 0 Combine like terms: -5i + 9i = 4i 1 + -1I + 4i = 0 Solving 1 + -1I + 4i = 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 + -1I + -1 + 4i = 0 + -1 Reorder the terms: 1 + -1 + -1I + 4i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1I + 4i = 0 + -1 -1I + 4i = 0 + -1 Combine like terms: 0 + -1 = -1 -1I + 4i = -1 Add '-4i' to each side of the equation. -1I + 4i + -4i = -1 + -4i Combine like terms: 4i + -4i = 0 -1I + 0 = -1 + -4i -1I = -1 + -4i Divide each side by '-1'. I = 1 + 4i Simplifying I = 1 + 4i
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