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Simplifying 5 + 2(2i) + -2i + 7 = 0 Remove parenthesis around (2i) 5 + 2 * 2i + -2i + 7 = 0 Multiply 2 * 2 5 + 4i + -2i + 7 = 0 Reorder the terms: 5 + 7 + 4i + -2i = 0 Combine like terms: 5 + 7 = 12 12 + 4i + -2i = 0 Combine like terms: 4i + -2i = 2i 12 + 2i = 0 Solving 12 + 2i = 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 + 2i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2i = 0 + -12 2i = 0 + -12 Combine like terms: 0 + -12 = -12 2i = -12 Divide each side by '2'. i = -6 Simplifying i = -6
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