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Simplifying 20 + 7i = (-3i) Solving 20 + 7i = (-3i) Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '(3i)' to each side of the equation. 20 + 7i + (3i) = (-3i) + (3i) Combine like terms: 7i + (3i) = 10i 20 + 10i = (-3i) + (3i) Combine like terms: (-3i) + (3i) = 0 20 + 10i = 0 Add '-20' to each side of the equation. 20 + -20 + 10i = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10i = 0 + -20 10i = 0 + -20 Combine like terms: 0 + -20 = -20 10i = -20 Divide each side by '10'. i = -2 Simplifying i = -2
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