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Simplifying 252 = 4(6i + 3) Reorder the terms: 252 = 4(3 + 6i) 252 = (3 * 4 + 6i * 4) 252 = (12 + 24i) Solving 252 = 12 + 24i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24i' to each side of the equation. 252 + -24i = 12 + 24i + -24i Combine like terms: 24i + -24i = 0 252 + -24i = 12 + 0 252 + -24i = 12 Add '-252' to each side of the equation. 252 + -252 + -24i = 12 + -252 Combine like terms: 252 + -252 = 0 0 + -24i = 12 + -252 -24i = 12 + -252 Combine like terms: 12 + -252 = -240 -24i = -240 Divide each side by '-24'. i = 10 Simplifying i = 10
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