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Simplifying 6k + 2 = 8k + 1 Reorder the terms: 2 + 6k = 8k + 1 Reorder the terms: 2 + 6k = 1 + 8k Solving 2 + 6k = 1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 2 + 6k + -8k = 1 + 8k + -8k Combine like terms: 6k + -8k = -2k 2 + -2k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 2 + -2k = 1 + 0 2 + -2k = 1 Add '-2' to each side of the equation. 2 + -2 + -2k = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = 1 + -2 -2k = 1 + -2 Combine like terms: 1 + -2 = -1 -2k = -1 Divide each side by '-2'. k = 0.5 Simplifying k = 0.5
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