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Simplifying 10i + 18 = 9i + 12 Reorder the terms: 18 + 10i = 9i + 12 Reorder the terms: 18 + 10i = 12 + 9i Solving 18 + 10i = 12 + 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. 18 + 10i + -9i = 12 + 9i + -9i Combine like terms: 10i + -9i = 1i 18 + 1i = 12 + 9i + -9i Combine like terms: 9i + -9i = 0 18 + 1i = 12 + 0 18 + 1i = 12 Add '-18' to each side of the equation. 18 + -18 + 1i = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 1i = 12 + -18 1i = 12 + -18 Combine like terms: 12 + -18 = -6 1i = -6 Divide each side by '1'. i = -6 Simplifying i = -6
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