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Simplifying 3(5j + 2) = 7 + 4k Reorder the terms: 3(2 + 5j) = 7 + 4k (2 * 3 + 5j * 3) = 7 + 4k (6 + 15j) = 7 + 4k Solving 6 + 15j = 7 + 4k Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15j = 7 + -6 + 4k Combine like terms: 6 + -6 = 0 0 + 15j = 7 + -6 + 4k 15j = 7 + -6 + 4k Combine like terms: 7 + -6 = 1 15j = 1 + 4k Divide each side by '15'. j = 0.06666666667 + 0.2666666667k Simplifying j = 0.06666666667 + 0.2666666667k
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