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Simplifying (7 + -8j + 6k) * 2 = 0 Reorder the terms for easier multiplication: 2(7 + -8j + 6k) = 0 (7 * 2 + -8j * 2 + 6k * 2) = 0 (14 + -16j + 12k) = 0 Solving 14 + -16j + 12k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -16j + -14 + 12k = 0 + -14 Reorder the terms: 14 + -14 + -16j + 12k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -16j + 12k = 0 + -14 -16j + 12k = 0 + -14 Combine like terms: 0 + -14 = -14 -16j + 12k = -14 Add '-12k' to each side of the equation. -16j + 12k + -12k = -14 + -12k Combine like terms: 12k + -12k = 0 -16j + 0 = -14 + -12k -16j = -14 + -12k Divide each side by '-16'. j = 0.875 + 0.75k Simplifying j = 0.875 + 0.75k
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