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Simplifying (7i + 7) = (3i + -58) Reorder the terms: (7 + 7i) = (3i + -58) Remove parenthesis around (7 + 7i) 7 + 7i = (3i + -58) Reorder the terms: 7 + 7i = (-58 + 3i) Remove parenthesis around (-58 + 3i) 7 + 7i = -58 + 3i Solving 7 + 7i = -58 + 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. 7 + 7i + -3i = -58 + 3i + -3i Combine like terms: 7i + -3i = 4i 7 + 4i = -58 + 3i + -3i Combine like terms: 3i + -3i = 0 7 + 4i = -58 + 0 7 + 4i = -58 Add '-7' to each side of the equation. 7 + -7 + 4i = -58 + -7 Combine like terms: 7 + -7 = 0 0 + 4i = -58 + -7 4i = -58 + -7 Combine like terms: -58 + -7 = -65 4i = -65 Divide each side by '4'. i = -16.25 Simplifying i = -16.25
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