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Simplifying 4(7 + i) = 0 (7 * 4 + i * 4) = 0 (28 + 4i) = 0 Solving 28 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4i = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4i = 0 + -28 4i = 0 + -28 Combine like terms: 0 + -28 = -28 4i = -28 Divide each side by '4'. i = -7 Simplifying i = -7
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