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Simplifying 2 + 3i + 6 + -7i = 0 Reorder the terms: 2 + 6 + 3i + -7i = 0 Combine like terms: 2 + 6 = 8 8 + 3i + -7i = 0 Combine like terms: 3i + -7i = -4i 8 + -4i = 0 Solving 8 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4i = 0 + -8 -4i = 0 + -8 Combine like terms: 0 + -8 = -8 -4i = -8 Divide each side by '-4'. i = 2 Simplifying i = 2
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