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Simplifying j + (8 + j) + (2(8 + j)) = 32 Remove parenthesis around (8 + j) j + 8 + j + (2(8 + j)) = 32 j + 8 + j + ((8 * 2 + j * 2)) = 32 j + 8 + j + ((16 + 2j)) = 32 j + 8 + j + (16 + 2j) = 32 Remove parenthesis around (16 + 2j) j + 8 + j + 16 + 2j = 32 Reorder the terms: 8 + 16 + j + j + 2j = 32 Combine like terms: 8 + 16 = 24 24 + j + j + 2j = 32 Combine like terms: j + j = 2j 24 + 2j + 2j = 32 Combine like terms: 2j + 2j = 4j 24 + 4j = 32 Solving 24 + 4j = 32 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4j = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 4j = 32 + -24 4j = 32 + -24 Combine like terms: 32 + -24 = 8 4j = 8 Divide each side by '4'. j = 2 Simplifying j = 2
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