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Simplifying 2k + 1 = 7k + 55 Reorder the terms: 1 + 2k = 7k + 55 Reorder the terms: 1 + 2k = 55 + 7k Solving 1 + 2k = 55 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 1 + 2k + -7k = 55 + 7k + -7k Combine like terms: 2k + -7k = -5k 1 + -5k = 55 + 7k + -7k Combine like terms: 7k + -7k = 0 1 + -5k = 55 + 0 1 + -5k = 55 Add '-1' to each side of the equation. 1 + -1 + -5k = 55 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 55 + -1 -5k = 55 + -1 Combine like terms: 55 + -1 = 54 -5k = 54 Divide each side by '-5'. k = -10.8 Simplifying k = -10.8
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