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Simplifying 8k + 1 = 7 + 5k Reorder the terms: 1 + 8k = 7 + 5k Solving 1 + 8k = 7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 1 + 8k + -5k = 7 + 5k + -5k Combine like terms: 8k + -5k = 3k 1 + 3k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + 3k = 7 + 0 1 + 3k = 7 Add '-1' to each side of the equation. 1 + -1 + 3k = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3k = 7 + -1 3k = 7 + -1 Combine like terms: 7 + -1 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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