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Simplifying (-6 + -3i) + (-8 + -1I) = 0 Remove parenthesis around (-6 + -3i) -6 + -3i + (-8 + -1I) = 0 Remove parenthesis around (-8 + -1I) -6 + -3i + -8 + -1I = 0 Reorder the terms: -6 + -8 + -1I + -3i = 0 Combine like terms: -6 + -8 = -14 -14 + -1I + -3i = 0 Solving -14 + -1I + -3i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -1I + 14 + -3i = 0 + 14 Reorder the terms: -14 + 14 + -1I + -3i = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1I + -3i = 0 + 14 -1I + -3i = 0 + 14 Combine like terms: 0 + 14 = 14 -1I + -3i = 14 Add '3i' to each side of the equation. -1I + -3i + 3i = 14 + 3i Combine like terms: -3i + 3i = 0 -1I + 0 = 14 + 3i -1I = 14 + 3i Divide each side by '-1'. I = -14 + -3i Simplifying I = -14 + -3i
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