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Simplifying 1i + 5 = 30i + -2 Reorder the terms: 5 + 1i = 30i + -2 Reorder the terms: 5 + 1i = -2 + 30i Solving 5 + 1i = -2 + 30i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30i' to each side of the equation. 5 + 1i + -30i = -2 + 30i + -30i Combine like terms: 1i + -30i = -29i 5 + -29i = -2 + 30i + -30i Combine like terms: 30i + -30i = 0 5 + -29i = -2 + 0 5 + -29i = -2 Add '-5' to each side of the equation. 5 + -5 + -29i = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -29i = -2 + -5 -29i = -2 + -5 Combine like terms: -2 + -5 = -7 -29i = -7 Divide each side by '-29'. i = 0.2413793103 Simplifying i = 0.2413793103
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