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Simplifying j + (8 + j) + (3(8 + j)) = 32 Remove parenthesis around (8 + j) j + 8 + j + (3(8 + j)) = 32 j + 8 + j + ((8 * 3 + j * 3)) = 32 j + 8 + j + ((24 + 3j)) = 32 j + 8 + j + (24 + 3j) = 32 Remove parenthesis around (24 + 3j) j + 8 + j + 24 + 3j = 32 Reorder the terms: 8 + 24 + j + j + 3j = 32 Combine like terms: 8 + 24 = 32 32 + j + j + 3j = 32 Combine like terms: j + j = 2j 32 + 2j + 3j = 32 Combine like terms: 2j + 3j = 5j 32 + 5j = 32 Add '-32' to each side of the equation. 32 + -32 + 5j = 32 + -32 Combine like terms: 32 + -32 = 0 0 + 5j = 32 + -32 5j = 32 + -32 Combine like terms: 32 + -32 = 0 5j = 0 Solving 5j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Divide each side by '5'. j = 0 Simplifying j = 0
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