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Simplifying 6i + 5 = 2i + 13 Reorder the terms: 5 + 6i = 2i + 13 Reorder the terms: 5 + 6i = 13 + 2i Solving 5 + 6i = 13 + 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. 5 + 6i + -2i = 13 + 2i + -2i Combine like terms: 6i + -2i = 4i 5 + 4i = 13 + 2i + -2i Combine like terms: 2i + -2i = 0 5 + 4i = 13 + 0 5 + 4i = 13 Add '-5' to each side of the equation. 5 + -5 + 4i = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4i = 13 + -5 4i = 13 + -5 Combine like terms: 13 + -5 = 8 4i = 8 Divide each side by '4'. i = 2 Simplifying i = 2
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