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Simplifying (-7 + 7i) + (8 + -3i) = 0 Remove parenthesis around (-7 + 7i) -7 + 7i + (8 + -3i) = 0 Remove parenthesis around (8 + -3i) -7 + 7i + 8 + -3i = 0 Reorder the terms: -7 + 8 + 7i + -3i = 0 Combine like terms: -7 + 8 = 1 1 + 7i + -3i = 0 Combine like terms: 7i + -3i = 4i 1 + 4i = 0 Solving 1 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4i = 0 + -1 4i = 0 + -1 Combine like terms: 0 + -1 = -1 4i = -1 Divide each side by '4'. i = -0.25 Simplifying i = -0.25
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