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Simplifying 8k + 5 = 6k + 1 Reorder the terms: 5 + 8k = 6k + 1 Reorder the terms: 5 + 8k = 1 + 6k Solving 5 + 8k = 1 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 5 + 8k + -6k = 1 + 6k + -6k Combine like terms: 8k + -6k = 2k 5 + 2k = 1 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + 2k = 1 + 0 5 + 2k = 1 Add '-5' to each side of the equation. 5 + -5 + 2k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 1 + -5 2k = 1 + -5 Combine like terms: 1 + -5 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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