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Simplifying 2 + 12i = 27 + 36i Solving 2 + 12i = 27 + 36i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-36i' to each side of the equation. 2 + 12i + -36i = 27 + 36i + -36i Combine like terms: 12i + -36i = -24i 2 + -24i = 27 + 36i + -36i Combine like terms: 36i + -36i = 0 2 + -24i = 27 + 0 2 + -24i = 27 Add '-2' to each side of the equation. 2 + -2 + -24i = 27 + -2 Combine like terms: 2 + -2 = 0 0 + -24i = 27 + -2 -24i = 27 + -2 Combine like terms: 27 + -2 = 25 -24i = 25 Divide each side by '-24'. i = -1.041666667 Simplifying i = -1.041666667
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