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Simplifying 16i + 12 = 30i + -2 Reorder the terms: 12 + 16i = 30i + -2 Reorder the terms: 12 + 16i = -2 + 30i Solving 12 + 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. 12 + 16i + -30i = -2 + 30i + -30i Combine like terms: 16i + -30i = -14i 12 + -14i = -2 + 30i + -30i Combine like terms: 30i + -30i = 0 12 + -14i = -2 + 0 12 + -14i = -2 Add '-12' to each side of the equation. 12 + -12 + -14i = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -14i = -2 + -12 -14i = -2 + -12 Combine like terms: -2 + -12 = -14 -14i = -14 Divide each side by '-14'. i = 1 Simplifying i = 1
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