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Simplifying 10k + 2 = k + 14 Reorder the terms: 2 + 10k = k + 14 Reorder the terms: 2 + 10k = 14 + k Solving 2 + 10k = 14 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + 10k + -1k = 14 + k + -1k Combine like terms: 10k + -1k = 9k 2 + 9k = 14 + k + -1k Combine like terms: k + -1k = 0 2 + 9k = 14 + 0 2 + 9k = 14 Add '-2' to each side of the equation. 2 + -2 + 9k = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 9k = 14 + -2 9k = 14 + -2 Combine like terms: 14 + -2 = 12 9k = 12 Divide each side by '9'. k = 1.333333333 Simplifying k = 1.333333333
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