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Simplifying 2(8i + 5) = 3(6i + 6) Reorder the terms: 2(5 + 8i) = 3(6i + 6) (5 * 2 + 8i * 2) = 3(6i + 6) (10 + 16i) = 3(6i + 6) Reorder the terms: 10 + 16i = 3(6 + 6i) 10 + 16i = (6 * 3 + 6i * 3) 10 + 16i = (18 + 18i) Solving 10 + 16i = 18 + 18i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18i' to each side of the equation. 10 + 16i + -18i = 18 + 18i + -18i Combine like terms: 16i + -18i = -2i 10 + -2i = 18 + 18i + -18i Combine like terms: 18i + -18i = 0 10 + -2i = 18 + 0 10 + -2i = 18 Add '-10' to each side of the equation. 10 + -10 + -2i = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -2i = 18 + -10 -2i = 18 + -10 Combine like terms: 18 + -10 = 8 -2i = 8 Divide each side by '-2'. i = -4 Simplifying i = -4
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