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Simplifying 6(2i + 3) = 5(4l + 2) Reorder the terms: 6(3 + 2i) = 5(4l + 2) (3 * 6 + 2i * 6) = 5(4l + 2) (18 + 12i) = 5(4l + 2) Reorder the terms: 18 + 12i = 5(2 + 4l) 18 + 12i = (2 * 5 + 4l * 5) 18 + 12i = (10 + 20l) Solving 18 + 12i = 10 + 20l Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12i = 10 + -18 + 20l Combine like terms: 18 + -18 = 0 0 + 12i = 10 + -18 + 20l 12i = 10 + -18 + 20l Combine like terms: 10 + -18 = -8 12i = -8 + 20l Divide each side by '12'. i = -0.6666666667 + 1.666666667l Simplifying i = -0.6666666667 + 1.666666667l
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