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