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Simplifying 81 + -8i = 7i + 6 Reorder the terms: 81 + -8i = 6 + 7i Solving 81 + -8i = 6 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 81 + -8i + -7i = 6 + 7i + -7i Combine like terms: -8i + -7i = -15i 81 + -15i = 6 + 7i + -7i Combine like terms: 7i + -7i = 0 81 + -15i = 6 + 0 81 + -15i = 6 Add '-81' to each side of the equation. 81 + -81 + -15i = 6 + -81 Combine like terms: 81 + -81 = 0 0 + -15i = 6 + -81 -15i = 6 + -81 Combine like terms: 6 + -81 = -75 -15i = -75 Divide each side by '-15'. i = 5 Simplifying i = 5
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