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Simplifying 12k + 14 = 10k + -2k + -7 Reorder the terms: 14 + 12k = 10k + -2k + -7 Reorder the terms: 14 + 12k = -7 + 10k + -2k Combine like terms: 10k + -2k = 8k 14 + 12k = -7 + 8k Solving 14 + 12k = -7 + 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. 14 + 12k + -8k = -7 + 8k + -8k Combine like terms: 12k + -8k = 4k 14 + 4k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 14 + 4k = -7 + 0 14 + 4k = -7 Add '-14' to each side of the equation. 14 + -14 + 4k = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 4k = -7 + -14 4k = -7 + -14 Combine like terms: -7 + -14 = -21 4k = -21 Divide each side by '4'. k = -5.25 Simplifying k = -5.25
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