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Simplifying 14 + -1(17 + -7i) + 8i = 0 14 + (17 * -1 + -7i * -1) + 8i = 0 14 + (-17 + 7i) + 8i = 0 Combine like terms: 14 + -17 = -3 -3 + 7i + 8i = 0 Combine like terms: 7i + 8i = 15i -3 + 15i = 0 Solving -3 + 15i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 15i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 15i = 0 + 3 15i = 0 + 3 Combine like terms: 0 + 3 = 3 15i = 3 Divide each side by '15'. i = 0.2 Simplifying i = 0.2
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