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Simplifying (16 + 7i) + -1(2 + -1i) = 0 Remove parenthesis around (16 + 7i) 16 + 7i + -1(2 + -1i) = 0 16 + 7i + (2 * -1 + -1i * -1) = 0 16 + 7i + (-2 + 1i) = 0 Reorder the terms: 16 + -2 + 7i + 1i = 0 Combine like terms: 16 + -2 = 14 14 + 7i + 1i = 0 Combine like terms: 7i + 1i = 8i 14 + 8i = 0 Solving 14 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8i = 0 + -14 8i = 0 + -14 Combine like terms: 0 + -14 = -14 8i = -14 Divide each side by '8'. i = -1.75 Simplifying i = -1.75
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