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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 'I' to each side of the equation. 1 + 5I + I = -17 + -1I + I Combine like terms: 5I + I = 6I 1 + 6I = -17 + -1I + I Combine like terms: -1I + I = 0 1 + 6I = -17 + 0 1 + 6I = -17 Add '-1' to each side of the equation. 1 + -1 + 6I = -17 + -1 Combine like terms: 1 + -1 = 0 0 + 6I = -17 + -1 6I = -17 + -1 Combine like terms: -17 + -1 = -18 6I = -18 Divide each side by '6'. I = -3 Simplifying I = -3
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