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Simplifying 6 + -1(-9 + 2i) + -1(-17 + -1I) = 0 6 + (-9 * -1 + 2i * -1) + -1(-17 + -1I) = 0 6 + (9 + -2i) + -1(-17 + -1I) = 0 6 + 9 + -2i + (-17 * -1 + -1I * -1) = 0 6 + 9 + -2i + (17 + 1I) = 0 Reorder the terms: 6 + 9 + 17 + 1I + -2i = 0 Combine like terms: 6 + 9 = 15 15 + 17 + 1I + -2i = 0 Combine like terms: 15 + 17 = 32 32 + 1I + -2i = 0 Solving 32 + 1I + -2i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 1I + -32 + -2i = 0 + -32 Reorder the terms: 32 + -32 + 1I + -2i = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1I + -2i = 0 + -32 1I + -2i = 0 + -32 Combine like terms: 0 + -32 = -32 1I + -2i = -32 Add '2i' to each side of the equation. 1I + -2i + 2i = -32 + 2i Combine like terms: -2i + 2i = 0 1I + 0 = -32 + 2i 1I = -32 + 2i Divide each side by '1'. I = -32 + 2i Simplifying I = -32 + 2i
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