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Simplifying 282 = 6(4i + 3) Reorder the terms: 282 = 6(3 + 4i) 282 = (3 * 6 + 4i * 6) 282 = (18 + 24i) Solving 282 = 18 + 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. 282 + -24i = 18 + 24i + -24i Combine like terms: 24i + -24i = 0 282 + -24i = 18 + 0 282 + -24i = 18 Add '-282' to each side of the equation. 282 + -282 + -24i = 18 + -282 Combine like terms: 282 + -282 = 0 0 + -24i = 18 + -282 -24i = 18 + -282 Combine like terms: 18 + -282 = -264 -24i = -264 Divide each side by '-24'. i = 11 Simplifying i = 11
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