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Simplifying 2(7j + 8k) + 3(2j + -5k) = 0 (7j * 2 + 8k * 2) + 3(2j + -5k) = 0 (14j + 16k) + 3(2j + -5k) = 0 14j + 16k + (2j * 3 + -5k * 3) = 0 14j + 16k + (6j + -15k) = 0 Reorder the terms: 14j + 6j + 16k + -15k = 0 Combine like terms: 14j + 6j = 20j 20j + 16k + -15k = 0 Combine like terms: 16k + -15k = 1k 20j + 1k = 0 Solving 20j + 1k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1k' to each side of the equation. 20j + 1k + -1k = 0 + -1k Combine like terms: 1k + -1k = 0 20j + 0 = 0 + -1k 20j = 0 + -1k Remove the zero: 20j = -1k Divide each side by '20'. j = -0.05k Simplifying j = -0.05k
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