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Simplifying 5j = 3(j + -8) Reorder the terms: 5j = 3(-8 + j) 5j = (-8 * 3 + j * 3) 5j = (-24 + 3j) Solving 5j = -24 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 5j + -3j = -24 + 3j + -3j Combine like terms: 5j + -3j = 2j 2j = -24 + 3j + -3j Combine like terms: 3j + -3j = 0 2j = -24 + 0 2j = -24 Divide each side by '2'. j = -12 Simplifying j = -12
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