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Simplifying 106 = 42 + 65 + i Combine like terms: 42 + 65 = 107 106 = 107 + i Solving 106 = 107 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 106 + -1i = 107 + i + -1i Combine like terms: i + -1i = 0 106 + -1i = 107 + 0 106 + -1i = 107 Add '-106' to each side of the equation. 106 + -106 + -1i = 107 + -106 Combine like terms: 106 + -106 = 0 0 + -1i = 107 + -106 -1i = 107 + -106 Combine like terms: 107 + -106 = 1 -1i = 1 Divide each side by '-1'. i = -1 Simplifying i = -1
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