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Simplifying (12 + -3I) + -1(5 + 8I) = 0 Remove parenthesis around (12 + -3I) 12 + -3I + -1(5 + 8I) = 0 12 + -3I + (5 * -1 + 8I * -1) = 0 12 + -3I + (-5 + -8I) = 0 Reorder the terms: 12 + -5 + -3I + -8I = 0 Combine like terms: 12 + -5 = 7 7 + -3I + -8I = 0 Combine like terms: -3I + -8I = -11I 7 + -11I = 0 Solving 7 + -11I = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11I = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11I = 0 + -7 -11I = 0 + -7 Combine like terms: 0 + -7 = -7 -11I = -7 Divide each side by '-11'. I = 0.6363636364 Simplifying I = 0.6363636364
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