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Simplifying 5(I + 2) + -9 = 17 + -1i Reorder the terms: 5(2 + I) + -9 = 17 + -1i (2 * 5 + I * 5) + -9 = 17 + -1i (10 + 5I) + -9 = 17 + -1i Reorder the terms: 10 + -9 + 5I = 17 + -1i Combine like terms: 10 + -9 = 1 1 + 5I = 17 + -1i Solving 1 + 5I = 17 + -1i Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5I = 17 + -1 + -1i Combine like terms: 1 + -1 = 0 0 + 5I = 17 + -1 + -1i 5I = 17 + -1 + -1i Combine like terms: 17 + -1 = 16 5I = 16 + -1i Divide each side by '5'. I = 3.2 + -0.2i Simplifying I = 3.2 + -0.2i
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