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Simplifying 14j + -5k + 5j + 9k = 0 Reorder the terms: 14j + 5j + -5k + 9k = 0 Combine like terms: 14j + 5j = 19j 19j + -5k + 9k = 0 Combine like terms: -5k + 9k = 4k 19j + 4k = 0 Solving 19j + 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. 19j + 4k + -4k = 0 + -4k Combine like terms: 4k + -4k = 0 19j + 0 = 0 + -4k 19j = 0 + -4k Remove the zero: 19j = -4k Divide each side by '19'. j = -0.2105263158k Simplifying j = -0.2105263158k
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