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Simplifying 3j + 2k + k + -1j + 4 = 0 Reorder the terms: 4 + 3j + -1j + 2k + k = 0 Combine like terms: 3j + -1j = 2j 4 + 2j + 2k + k = 0 Combine like terms: 2k + k = 3k 4 + 2j + 3k = 0 Solving 4 + 2j + 3k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2j + -4 + 3k = 0 + -4 Reorder the terms: 4 + -4 + 2j + 3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2j + 3k = 0 + -4 2j + 3k = 0 + -4 Combine like terms: 0 + -4 = -4 2j + 3k = -4 Add '-3k' to each side of the equation. 2j + 3k + -3k = -4 + -3k Combine like terms: 3k + -3k = 0 2j + 0 = -4 + -3k 2j = -4 + -3k Divide each side by '2'. j = -2 + -1.5k Simplifying j = -2 + -1.5k
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