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Simplifying 5j + -4k + j + k = 0 Reorder the terms: 5j + j + -4k + k = 0 Combine like terms: 5j + j = 6j 6j + -4k + k = 0 Combine like terms: -4k + k = -3k 6j + -3k = 0 Solving 6j + -3k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3k' to each side of the equation. 6j + -3k + 3k = 0 + 3k Combine like terms: -3k + 3k = 0 6j + 0 = 0 + 3k 6j = 0 + 3k Remove the zero: 6j = 3k Divide each side by '6'. j = 0.5k Simplifying j = 0.5k
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