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Simplifying 15i + 12 = 6i + 52 Reorder the terms: 12 + 15i = 6i + 52 Reorder the terms: 12 + 15i = 52 + 6i Solving 12 + 15i = 52 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. 12 + 15i + -6i = 52 + 6i + -6i Combine like terms: 15i + -6i = 9i 12 + 9i = 52 + 6i + -6i Combine like terms: 6i + -6i = 0 12 + 9i = 52 + 0 12 + 9i = 52 Add '-12' to each side of the equation. 12 + -12 + 9i = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 9i = 52 + -12 9i = 52 + -12 Combine like terms: 52 + -12 = 40 9i = 40 Divide each side by '9'. i = 4.444444444 Simplifying i = 4.444444444
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