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Simplifying -8i + 4 = 2i + 44 Reorder the terms: 4 + -8i = 2i + 44 Reorder the terms: 4 + -8i = 44 + 2i Solving 4 + -8i = 44 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 4 + -8i + -2i = 44 + 2i + -2i Combine like terms: -8i + -2i = -10i 4 + -10i = 44 + 2i + -2i Combine like terms: 2i + -2i = 0 4 + -10i = 44 + 0 4 + -10i = 44 Add '-4' to each side of the equation. 4 + -4 + -10i = 44 + -4 Combine like terms: 4 + -4 = 0 0 + -10i = 44 + -4 -10i = 44 + -4 Combine like terms: 44 + -4 = 40 -10i = 40 Divide each side by '-10'. i = -4 Simplifying i = -4
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