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Simplifying 3(k + 1) + 2 = 8 Reorder the terms: 3(1 + k) + 2 = 8 (1 * 3 + k * 3) + 2 = 8 (3 + 3k) + 2 = 8 Reorder the terms: 3 + 2 + 3k = 8 Combine like terms: 3 + 2 = 5 5 + 3k = 8 Solving 5 + 3k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3k = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 8 + -5 3k = 8 + -5 Combine like terms: 8 + -5 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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