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Simplifying 1 + 5k = 7k + -4 Reorder the terms: 1 + 5k = -4 + 7k Solving 1 + 5k = -4 + 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 + 5k + -7k = -4 + 7k + -7k Combine like terms: 5k + -7k = -2k 1 + -2k = -4 + 7k + -7k Combine like terms: 7k + -7k = 0 1 + -2k = -4 + 0 1 + -2k = -4 Add '-1' to each side of the equation. 1 + -1 + -2k = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -2k = -4 + -1 -2k = -4 + -1 Combine like terms: -4 + -1 = -5 -2k = -5 Divide each side by '-2'. k = 2.5 Simplifying k = 2.5
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