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