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Simplifying 9i + 7 = 5i + 15 Reorder the terms: 7 + 9i = 5i + 15 Reorder the terms: 7 + 9i = 15 + 5i Solving 7 + 9i = 15 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 7 + 9i + -5i = 15 + 5i + -5i Combine like terms: 9i + -5i = 4i 7 + 4i = 15 + 5i + -5i Combine like terms: 5i + -5i = 0 7 + 4i = 15 + 0 7 + 4i = 15 Add '-7' to each side of the equation. 7 + -7 + 4i = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4i = 15 + -7 4i = 15 + -7 Combine like terms: 15 + -7 = 8 4i = 8 Divide each side by '4'. i = 2 Simplifying i = 2
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