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Simplifying 5k + 4j + -3k + 6j = 0 Reorder the terms: 4j + 6j + 5k + -3k = 0 Combine like terms: 4j + 6j = 10j 10j + 5k + -3k = 0 Combine like terms: 5k + -3k = 2k 10j + 2k = 0 Solving 10j + 2k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2k' to each side of the equation. 10j + 2k + -2k = 0 + -2k Combine like terms: 2k + -2k = 0 10j + 0 = 0 + -2k 10j = 0 + -2k Remove the zero: 10j = -2k Divide each side by '10'. j = -0.2k Simplifying j = -0.2k
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