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Simplifying 3i + 10 = 14i + -12 Reorder the terms: 10 + 3i = 14i + -12 Reorder the terms: 10 + 3i = -12 + 14i Solving 10 + 3i = -12 + 14i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14i' to each side of the equation. 10 + 3i + -14i = -12 + 14i + -14i Combine like terms: 3i + -14i = -11i 10 + -11i = -12 + 14i + -14i Combine like terms: 14i + -14i = 0 10 + -11i = -12 + 0 10 + -11i = -12 Add '-10' to each side of the equation. 10 + -10 + -11i = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -11i = -12 + -10 -11i = -12 + -10 Combine like terms: -12 + -10 = -22 -11i = -22 Divide each side by '-11'. i = 2 Simplifying i = 2
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