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Simplifying 4k + 14 + 2k = 7 + 3k Reorder the terms: 14 + 4k + 2k = 7 + 3k Combine like terms: 4k + 2k = 6k 14 + 6k = 7 + 3k Solving 14 + 6k = 7 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 14 + 6k + -3k = 7 + 3k + -3k Combine like terms: 6k + -3k = 3k 14 + 3k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 14 + 3k = 7 + 0 14 + 3k = 7 Add '-14' to each side of the equation. 14 + -14 + 3k = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 3k = 7 + -14 3k = 7 + -14 Combine like terms: 7 + -14 = -7 3k = -7 Divide each side by '3'. k = -2.333333333 Simplifying k = -2.333333333
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