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Simplifying (6 + -3i) + (7 + -2I) = 0 Remove parenthesis around (6 + -3i) 6 + -3i + (7 + -2I) = 0 Remove parenthesis around (7 + -2I) 6 + -3i + 7 + -2I = 0 Reorder the terms: 6 + 7 + -2I + -3i = 0 Combine like terms: 6 + 7 = 13 13 + -2I + -3i = 0 Solving 13 + -2I + -3i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -2I + -13 + -3i = 0 + -13 Reorder the terms: 13 + -13 + -2I + -3i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2I + -3i = 0 + -13 -2I + -3i = 0 + -13 Combine like terms: 0 + -13 = -13 -2I + -3i = -13 Add '3i' to each side of the equation. -2I + -3i + 3i = -13 + 3i Combine like terms: -3i + 3i = 0 -2I + 0 = -13 + 3i -2I = -13 + 3i Divide each side by '-2'. I = 6.5 + -1.5i Simplifying I = 6.5 + -1.5i
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