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Simplifying 14 + 8k = 5k + -7 Reorder the terms: 14 + 8k = -7 + 5k Solving 14 + 8k = -7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 14 + 8k + -5k = -7 + 5k + -5k Combine like terms: 8k + -5k = 3k 14 + 3k = -7 + 5k + -5k Combine like terms: 5k + -5k = 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 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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