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Simplifying 8i + 16 = 10i + -12 Reorder the terms: 16 + 8i = 10i + -12 Reorder the terms: 16 + 8i = -12 + 10i Solving 16 + 8i = -12 + 10i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10i' to each side of the equation. 16 + 8i + -10i = -12 + 10i + -10i Combine like terms: 8i + -10i = -2i 16 + -2i = -12 + 10i + -10i Combine like terms: 10i + -10i = 0 16 + -2i = -12 + 0 16 + -2i = -12 Add '-16' to each side of the equation. 16 + -16 + -2i = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -2i = -12 + -16 -2i = -12 + -16 Combine like terms: -12 + -16 = -28 -2i = -28 Divide each side by '-2'. i = 14 Simplifying i = 14
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