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Simplifying 5j + 3k + -2j + 2k = 0 Reorder the terms: 5j + -2j + 3k + 2k = 0 Combine like terms: 5j + -2j = 3j 3j + 3k + 2k = 0 Combine like terms: 3k + 2k = 5k 3j + 5k = 0 Solving 3j + 5k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5k' to each side of the equation. 3j + 5k + -5k = 0 + -5k Combine like terms: 5k + -5k = 0 3j + 0 = 0 + -5k 3j = 0 + -5k Remove the zero: 3j = -5k Divide each side by '3'. j = -1.666666667k Simplifying j = -1.666666667k
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