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Simplifying 3j + 5k + 3j + 8k = 0 Reorder the terms: 3j + 3j + 5k + 8k = 0 Combine like terms: 3j + 3j = 6j 6j + 5k + 8k = 0 Combine like terms: 5k + 8k = 13k 6j + 13k = 0 Solving 6j + 13k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-13k' to each side of the equation. 6j + 13k + -13k = 0 + -13k Combine like terms: 13k + -13k = 0 6j + 0 = 0 + -13k 6j = 0 + -13k Remove the zero: 6j = -13k Divide each side by '6'. j = -2.166666667k Simplifying j = -2.166666667k
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