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Simplifying 5k + 3 + 2j + -2 + -1k = 0 Reorder the terms: 3 + -2 + 2j + 5k + -1k = 0 Combine like terms: 3 + -2 = 1 1 + 2j + 5k + -1k = 0 Combine like terms: 5k + -1k = 4k 1 + 2j + 4k = 0 Solving 1 + 2j + 4k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2j + -1 + 4k = 0 + -1 Reorder the terms: 1 + -1 + 2j + 4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2j + 4k = 0 + -1 2j + 4k = 0 + -1 Combine like terms: 0 + -1 = -1 2j + 4k = -1 Add '-4k' to each side of the equation. 2j + 4k + -4k = -1 + -4k Combine like terms: 4k + -4k = 0 2j + 0 = -1 + -4k 2j = -1 + -4k Divide each side by '2'. j = -0.5 + -2k Simplifying j = -0.5 + -2k
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