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