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Simplifying 14 + 3k = 47 + -10k Solving 14 + 3k = 47 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 14 + 3k + 10k = 47 + -10k + 10k Combine like terms: 3k + 10k = 13k 14 + 13k = 47 + -10k + 10k Combine like terms: -10k + 10k = 0 14 + 13k = 47 + 0 14 + 13k = 47 Add '-14' to each side of the equation. 14 + -14 + 13k = 47 + -14 Combine like terms: 14 + -14 = 0 0 + 13k = 47 + -14 13k = 47 + -14 Combine like terms: 47 + -14 = 33 13k = 33 Divide each side by '13'. k = 2.538461538 Simplifying k = 2.538461538
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