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Simplifying 27(j + 14) = 567 Reorder the terms: 27(14 + j) = 567 (14 * 27 + j * 27) = 567 (378 + 27j) = 567 Solving 378 + 27j = 567 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-378' to each side of the equation. 378 + -378 + 27j = 567 + -378 Combine like terms: 378 + -378 = 0 0 + 27j = 567 + -378 27j = 567 + -378 Combine like terms: 567 + -378 = 189 27j = 189 Divide each side by '27'. j = 7 Simplifying j = 7
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