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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 = -19 -19 + 5i = -17 + -1i Solving -19 + 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. -19 + 5i + i = -17 + -1i + i Combine like terms: 5i + i = 6i -19 + 6i = -17 + -1i + i Combine like terms: -1i + i = 0 -19 + 6i = -17 + 0 -19 + 6i = -17 Add '19' to each side of the equation. -19 + 19 + 6i = -17 + 19 Combine like terms: -19 + 19 = 0 0 + 6i = -17 + 19 6i = -17 + 19 Combine like terms: -17 + 19 = 2 6i = 2 Divide each side by '6'. i = 0.3333333333 Simplifying i = 0.3333333333
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