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Simplifying (-3i + 8) + -1(-7i + -5) = 0 Reorder the terms: (8 + -3i) + -1(-7i + -5) = 0 Remove parenthesis around (8 + -3i) 8 + -3i + -1(-7i + -5) = 0 Reorder the terms: 8 + -3i + -1(-5 + -7i) = 0 8 + -3i + (-5 * -1 + -7i * -1) = 0 8 + -3i + (5 + 7i) = 0 Reorder the terms: 8 + 5 + -3i + 7i = 0 Combine like terms: 8 + 5 = 13 13 + -3i + 7i = 0 Combine like terms: -3i + 7i = 4i 13 + 4i = 0 Solving 13 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4i = 0 + -13 4i = 0 + -13 Combine like terms: 0 + -13 = -13 4i = -13 Divide each side by '4'. i = -3.25 Simplifying i = -3.25
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