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Simplifying 3 = -7(i + 4) Reorder the terms: 3 = -7(4 + i) 3 = (4 * -7 + i * -7) 3 = (-28 + -7i) Solving 3 = -28 + -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. 3 + 7i = -28 + -7i + 7i Combine like terms: -7i + 7i = 0 3 + 7i = -28 + 0 3 + 7i = -28 Add '-3' to each side of the equation. 3 + -3 + 7i = -28 + -3 Combine like terms: 3 + -3 = 0 0 + 7i = -28 + -3 7i = -28 + -3 Combine like terms: -28 + -3 = -31 7i = -31 Divide each side by '7'. i = -4.428571429 Simplifying i = -4.428571429
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