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Simplifying 12j + 6k + -4j + 3k = 0 Reorder the terms: 12j + -4j + 6k + 3k = 0 Combine like terms: 12j + -4j = 8j 8j + 6k + 3k = 0 Combine like terms: 6k + 3k = 9k 8j + 9k = 0 Solving 8j + 9k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9k' to each side of the equation. 8j + 9k + -9k = 0 + -9k Combine like terms: 9k + -9k = 0 8j + 0 = 0 + -9k 8j = 0 + -9k Remove the zero: 8j = -9k Divide each side by '8'. j = -1.125k Simplifying j = -1.125k
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