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Simplifying 6k + 1 = 16 + 3k Reorder the terms: 1 + 6k = 16 + 3k Solving 1 + 6k = 16 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 1 + 6k + -3k = 16 + 3k + -3k Combine like terms: 6k + -3k = 3k 1 + 3k = 16 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + 3k = 16 + 0 1 + 3k = 16 Add '-1' to each side of the equation. 1 + -1 + 3k = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3k = 16 + -1 3k = 16 + -1 Combine like terms: 16 + -1 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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