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Simplifying 7(2 + -2i) + 2 = 44 (2 * 7 + -2i * 7) + 2 = 44 (14 + -14i) + 2 = 44 Reorder the terms: 14 + 2 + -14i = 44 Combine like terms: 14 + 2 = 16 16 + -14i = 44 Solving 16 + -14i = 44 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -14i = 44 + -16 Combine like terms: 16 + -16 = 0 0 + -14i = 44 + -16 -14i = 44 + -16 Combine like terms: 44 + -16 = 28 -14i = 28 Divide each side by '-14'. i = -2 Simplifying i = -2
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