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Simplifying 7k + 14 + -1k = 7 + -29k + -10 Reorder the terms: 14 + 7k + -1k = 7 + -29k + -10 Combine like terms: 7k + -1k = 6k 14 + 6k = 7 + -29k + -10 Reorder the terms: 14 + 6k = 7 + -10 + -29k Combine like terms: 7 + -10 = -3 14 + 6k = -3 + -29k Solving 14 + 6k = -3 + -29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '29k' to each side of the equation. 14 + 6k + 29k = -3 + -29k + 29k Combine like terms: 6k + 29k = 35k 14 + 35k = -3 + -29k + 29k Combine like terms: -29k + 29k = 0 14 + 35k = -3 + 0 14 + 35k = -3 Add '-14' to each side of the equation. 14 + -14 + 35k = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 35k = -3 + -14 35k = -3 + -14 Combine like terms: -3 + -14 = -17 35k = -17 Divide each side by '35'. k = -0.4857142857 Simplifying k = -0.4857142857
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