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Simplifying (7i + 7) + (-3i + -58) = 0 Reorder the terms: (7 + 7i) + (-3i + -58) = 0 Remove parenthesis around (7 + 7i) 7 + 7i + (-3i + -58) = 0 Reorder the terms: 7 + 7i + (-58 + -3i) = 0 Remove parenthesis around (-58 + -3i) 7 + 7i + -58 + -3i = 0 Reorder the terms: 7 + -58 + 7i + -3i = 0 Combine like terms: 7 + -58 = -51 -51 + 7i + -3i = 0 Combine like terms: 7i + -3i = 4i -51 + 4i = 0 Solving -51 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 4i = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 4i = 0 + 51 4i = 0 + 51 Combine like terms: 0 + 51 = 51 4i = 51 Divide each side by '4'. i = 12.75 Simplifying i = 12.75
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