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Simplifying 5j + 3(j + 4k) + 7k = 0 5j + (j * 3 + 4k * 3) + 7k = 0 5j + (3j + 12k) + 7k = 0 Combine like terms: 5j + 3j = 8j 8j + 12k + 7k = 0 Combine like terms: 12k + 7k = 19k 8j + 19k = 0 Solving 8j + 19k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-19k' to each side of the equation. 8j + 19k + -19k = 0 + -19k Combine like terms: 19k + -19k = 0 8j + 0 = 0 + -19k 8j = 0 + -19k Remove the zero: 8j = -19k Divide each side by '8'. j = -2.375k Simplifying j = -2.375k
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