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Simplifying 6k + 14 + -5k = -37 + 31k + 5 Reorder the terms: 14 + 6k + -5k = -37 + 31k + 5 Combine like terms: 6k + -5k = 1k 14 + 1k = -37 + 31k + 5 Reorder the terms: 14 + 1k = -37 + 5 + 31k Combine like terms: -37 + 5 = -32 14 + 1k = -32 + 31k Solving 14 + 1k = -32 + 31k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31k' to each side of the equation. 14 + 1k + -31k = -32 + 31k + -31k Combine like terms: 1k + -31k = -30k 14 + -30k = -32 + 31k + -31k Combine like terms: 31k + -31k = 0 14 + -30k = -32 + 0 14 + -30k = -32 Add '-14' to each side of the equation. 14 + -14 + -30k = -32 + -14 Combine like terms: 14 + -14 = 0 0 + -30k = -32 + -14 -30k = -32 + -14 Combine like terms: -32 + -14 = -46 -30k = -46 Divide each side by '-30'. k = 1.533333333 Simplifying k = 1.533333333
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