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Simplifying 5k + 7 = 31 + -1k Reorder the terms: 7 + 5k = 31 + -1k Solving 7 + 5k = 31 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 7 + 5k + k = 31 + -1k + k Combine like terms: 5k + k = 6k 7 + 6k = 31 + -1k + k Combine like terms: -1k + k = 0 7 + 6k = 31 + 0 7 + 6k = 31 Add '-7' to each side of the equation. 7 + -7 + 6k = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 6k = 31 + -7 6k = 31 + -7 Combine like terms: 31 + -7 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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