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Simplifying (8 + -7i) + -1(-4 + 6i) = 0 Remove parenthesis around (8 + -7i) 8 + -7i + -1(-4 + 6i) = 0 8 + -7i + (-4 * -1 + 6i * -1) = 0 8 + -7i + (4 + -6i) = 0 Reorder the terms: 8 + 4 + -7i + -6i = 0 Combine like terms: 8 + 4 = 12 12 + -7i + -6i = 0 Combine like terms: -7i + -6i = -13i 12 + -13i = 0 Solving 12 + -13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -13i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -13i = 0 + -12 -13i = 0 + -12 Combine like terms: 0 + -12 = -12 -13i = -12 Divide each side by '-13'. i = 0.9230769231 Simplifying i = 0.9230769231
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