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Simplifying 7k + -14 = 42 + -5k Reorder the terms: -14 + 7k = 42 + -5k Solving -14 + 7k = 42 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -14 + 7k + 5k = 42 + -5k + 5k Combine like terms: 7k + 5k = 12k -14 + 12k = 42 + -5k + 5k Combine like terms: -5k + 5k = 0 -14 + 12k = 42 + 0 -14 + 12k = 42 Add '14' to each side of the equation. -14 + 14 + 12k = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 12k = 42 + 14 12k = 42 + 14 Combine like terms: 42 + 14 = 56 12k = 56 Divide each side by '12'. k = 4.666666667 Simplifying k = 4.666666667
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