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Simplifying 4 + 3(i + 1) = 4j + 6 Reorder the terms: 4 + 3(1 + i) = 4j + 6 4 + (1 * 3 + i * 3) = 4j + 6 4 + (3 + 3i) = 4j + 6 Combine like terms: 4 + 3 = 7 7 + 3i = 4j + 6 Reorder the terms: 7 + 3i = 6 + 4j Solving 7 + 3i = 6 + 4j Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3i = 6 + -7 + 4j Combine like terms: 7 + -7 = 0 0 + 3i = 6 + -7 + 4j 3i = 6 + -7 + 4j Combine like terms: 6 + -7 = -1 3i = -1 + 4j Divide each side by '3'. i = -0.3333333333 + 1.333333333j Simplifying i = -0.3333333333 + 1.333333333j
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