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Simplifying 0 = (8 + -2i) + -1(15 + 7i) Remove parenthesis around (8 + -2i) 0 = 8 + -2i + -1(15 + 7i) 0 = 8 + -2i + (15 * -1 + 7i * -1) 0 = 8 + -2i + (-15 + -7i) Reorder the terms: 0 = 8 + -15 + -2i + -7i Combine like terms: 8 + -15 = -7 0 = -7 + -2i + -7i Combine like terms: -2i + -7i = -9i 0 = -7 + -9i Solving 0 = -7 + -9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. 0 + 9i = -7 + -9i + 9i Remove the zero: 9i = -7 + -9i + 9i Combine like terms: -9i + 9i = 0 9i = -7 + 0 9i = -7 Divide each side by '9'. i = -0.7777777778 Simplifying i = -0.7777777778
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