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Simplifying 5i + 3 = 6i + -2 Reorder the terms: 3 + 5i = 6i + -2 Reorder the terms: 3 + 5i = -2 + 6i Solving 3 + 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. 3 + 5i + -6i = -2 + 6i + -6i Combine like terms: 5i + -6i = -1i 3 + -1i = -2 + 6i + -6i Combine like terms: 6i + -6i = 0 3 + -1i = -2 + 0 3 + -1i = -2 Add '-3' to each side of the equation. 3 + -3 + -1i = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1i = -2 + -3 -1i = -2 + -3 Combine like terms: -2 + -3 = -5 -1i = -5 Divide each side by '-1'. i = 5 Simplifying i = 5
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