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Simplifying 46 = 4i + -10 Reorder the terms: 46 = -10 + 4i Solving 46 = -10 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 46 + -4i = -10 + 4i + -4i Combine like terms: 4i + -4i = 0 46 + -4i = -10 + 0 46 + -4i = -10 Add '-46' to each side of the equation. 46 + -46 + -4i = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -4i = -10 + -46 -4i = -10 + -46 Combine like terms: -10 + -46 = -56 -4i = -56 Divide each side by '-4'. i = 14 Simplifying i = 14
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