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Simplifying (14 + 5i) + -1(8 + 6i) = 0 Remove parenthesis around (14 + 5i) 14 + 5i + -1(8 + 6i) = 0 14 + 5i + (8 * -1 + 6i * -1) = 0 14 + 5i + (-8 + -6i) = 0 Reorder the terms: 14 + -8 + 5i + -6i = 0 Combine like terms: 14 + -8 = 6 6 + 5i + -6i = 0 Combine like terms: 5i + -6i = -1i 6 + -1i = 0 Solving 6 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1i = 0 + -6 -1i = 0 + -6 Combine like terms: 0 + -6 = -6 -1i = -6 Divide each side by '-1'. i = 6 Simplifying i = 6
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