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Simplifying 3k + 14 = 2k + 10 Reorder the terms: 14 + 3k = 2k + 10 Reorder the terms: 14 + 3k = 10 + 2k Solving 14 + 3k = 10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 14 + 3k + -2k = 10 + 2k + -2k Combine like terms: 3k + -2k = 1k 14 + 1k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 14 + 1k = 10 + 0 14 + 1k = 10 Add '-14' to each side of the equation. 14 + -14 + 1k = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 1k = 10 + -14 1k = 10 + -14 Combine like terms: 10 + -14 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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