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Simplifying -8k + 7j + -12k + 3j = 0 Reorder the terms: 7j + 3j + -8k + -12k = 0 Combine like terms: 7j + 3j = 10j 10j + -8k + -12k = 0 Combine like terms: -8k + -12k = -20k 10j + -20k = 0 Solving 10j + -20k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20k' to each side of the equation. 10j + -20k + 20k = 0 + 20k Combine like terms: -20k + 20k = 0 10j + 0 = 0 + 20k 10j = 0 + 20k Remove the zero: 10j = 20k Divide each side by '10'. j = 2k Simplifying j = 2k
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