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Simplifying 2(j + 1) = 12 Reorder the terms: 2(1 + j) = 12 (1 * 2 + j * 2) = 12 (2 + 2j) = 12 Solving 2 + 2j = 12 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2j = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2j = 12 + -2 2j = 12 + -2 Combine like terms: 12 + -2 = 10 2j = 10 Divide each side by '2'. j = 5 Simplifying j = 5
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