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Simplifying 4 + 5i + -14 + -1I = 0 Reorder the terms: 4 + -14 + -1I + 5i = 0 Combine like terms: 4 + -14 = -10 -10 + -1I + 5i = 0 Solving -10 + -1I + 5i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -1I + 10 + 5i = 0 + 10 Reorder the terms: -10 + 10 + -1I + 5i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1I + 5i = 0 + 10 -1I + 5i = 0 + 10 Combine like terms: 0 + 10 = 10 -1I + 5i = 10 Add '-5i' to each side of the equation. -1I + 5i + -5i = 10 + -5i Combine like terms: 5i + -5i = 0 -1I + 0 = 10 + -5i -1I = 10 + -5i Divide each side by '-1'. I = -10 + 5i Simplifying I = -10 + 5i
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