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Simplifying 10 = 3i + 1 Reorder the terms: 10 = 1 + 3i Solving 10 = 1 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 10 + -3i = 1 + 3i + -3i Combine like terms: 3i + -3i = 0 10 + -3i = 1 + 0 10 + -3i = 1 Add '-10' to each side of the equation. 10 + -10 + -3i = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3i = 1 + -10 -3i = 1 + -10 Combine like terms: 1 + -10 = -9 -3i = -9 Divide each side by '-3'. i = 3 Simplifying i = 3
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