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Simplifying 7[i] = 7[3 + -1i] + 2 7i = [3 * 7 + -1i * 7] + 2 7i = [21 + -7i] + 2 Reorder the terms: 7i = 21 + 2 + -7i Combine like terms: 21 + 2 = 23 7i = 23 + -7i Solving 7i = 23 + -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. 7i + 7i = 23 + -7i + 7i Combine like terms: 7i + 7i = 14i 14i = 23 + -7i + 7i Combine like terms: -7i + 7i = 0 14i = 23 + 0 14i = 23 Divide each side by '14'. i = 1.642857143 Simplifying i = 1.642857143
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