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Simplifying 5i + 6 = 6i + 2 Reorder the terms: 6 + 5i = 6i + 2 Reorder the terms: 6 + 5i = 2 + 6i Solving 6 + 5i = 2 + 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. 6 + 5i + -6i = 2 + 6i + -6i Combine like terms: 5i + -6i = -1i 6 + -1i = 2 + 6i + -6i Combine like terms: 6i + -6i = 0 6 + -1i = 2 + 0 6 + -1i = 2 Add '-6' to each side of the equation. 6 + -6 + -1i = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1i = 2 + -6 -1i = 2 + -6 Combine like terms: 2 + -6 = -4 -1i = -4 Divide each side by '-1'. i = 4 Simplifying i = 4
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