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Simplifying -49 + 2k = k + -6k Combine like terms: k + -6k = -5k -49 + 2k = -5k Solving -49 + 2k = -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. -49 + 2k + 5k = -5k + 5k Combine like terms: 2k + 5k = 7k -49 + 7k = -5k + 5k Combine like terms: -5k + 5k = 0 -49 + 7k = 0 Add '49' to each side of the equation. -49 + 49 + 7k = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 7k = 0 + 49 7k = 0 + 49 Combine like terms: 0 + 49 = 49 7k = 49 Divide each side by '7'. k = 7 Simplifying k = 7
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