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Simplifying 10i + -4 = 9i + 10 Reorder the terms: -4 + 10i = 9i + 10 Reorder the terms: -4 + 10i = 10 + 9i Solving -4 + 10i = 10 + 9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9i' to each side of the equation. -4 + 10i + -9i = 10 + 9i + -9i Combine like terms: 10i + -9i = 1i -4 + 1i = 10 + 9i + -9i Combine like terms: 9i + -9i = 0 -4 + 1i = 10 + 0 -4 + 1i = 10 Add '4' to each side of the equation. -4 + 4 + 1i = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 1i = 10 + 4 1i = 10 + 4 Combine like terms: 10 + 4 = 14 1i = 14 Divide each side by '1'. i = 14 Simplifying i = 14
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