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Simplifying 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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