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Simplifying 13 + 5k = 7k + 1 Reorder the terms: 13 + 5k = 1 + 7k Solving 13 + 5k = 1 + 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. 13 + 5k + -7k = 1 + 7k + -7k Combine like terms: 5k + -7k = -2k 13 + -2k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 13 + -2k = 1 + 0 13 + -2k = 1 Add '-13' to each side of the equation. 13 + -13 + -2k = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = 1 + -13 -2k = 1 + -13 Combine like terms: 1 + -13 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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