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Simplifying 2j + -1k + 81 = 6 Reorder the terms: 81 + 2j + -1k = 6 Solving 81 + 2j + -1k = 6 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + 2j + -81 + -1k = 6 + -81 Reorder the terms: 81 + -81 + 2j + -1k = 6 + -81 Combine like terms: 81 + -81 = 0 0 + 2j + -1k = 6 + -81 2j + -1k = 6 + -81 Combine like terms: 6 + -81 = -75 2j + -1k = -75 Add 'k' to each side of the equation. 2j + -1k + k = -75 + k Combine like terms: -1k + k = 0 2j + 0 = -75 + k 2j = -75 + k Divide each side by '2'. j = -37.5 + 0.5k Simplifying j = -37.5 + 0.5k
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