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Simplifying 14j + 2j + -22k + -7j + 14k + -3k = 0 Reorder the terms: 14j + 2j + -7j + -22k + 14k + -3k = 0 Combine like terms: 14j + 2j = 16j 16j + -7j + -22k + 14k + -3k = 0 Combine like terms: 16j + -7j = 9j 9j + -22k + 14k + -3k = 0 Combine like terms: -22k + 14k = -8k 9j + -8k + -3k = 0 Combine like terms: -8k + -3k = -11k 9j + -11k = 0 Solving 9j + -11k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '11k' to each side of the equation. 9j + -11k + 11k = 0 + 11k Combine like terms: -11k + 11k = 0 9j + 0 = 0 + 11k 9j = 0 + 11k Remove the zero: 9j = 11k Divide each side by '9'. j = 1.222222222k Simplifying j = 1.222222222k
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