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Simplifying 16i + 5 = 30i + 2 Reorder the terms: 5 + 16i = 30i + 2 Reorder the terms: 5 + 16i = 2 + 30i Solving 5 + 16i = 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 + 16i + -30i = 2 + 30i + -30i Combine like terms: 16i + -30i = -14i 5 + -14i = 2 + 30i + -30i Combine like terms: 30i + -30i = 0 5 + -14i = 2 + 0 5 + -14i = 2 Add '-5' to each side of the equation. 5 + -5 + -14i = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -14i = 2 + -5 -14i = 2 + -5 Combine like terms: 2 + -5 = -3 -14i = -3 Divide each side by '-14'. i = 0.2142857143 Simplifying i = 0.2142857143
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