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Simplifying 6k + 3j + -2k + 5j = 0 Reorder the terms: 3j + 5j + 6k + -2k = 0 Combine like terms: 3j + 5j = 8j 8j + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 8j + 4k = 0 Solving 8j + 4k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4k' to each side of the equation. 8j + 4k + -4k = 0 + -4k Combine like terms: 4k + -4k = 0 8j + 0 = 0 + -4k 8j = 0 + -4k Remove the zero: 8j = -4k Divide each side by '8'. j = -0.5k Simplifying j = -0.5k
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