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Simplifying k + 4 = 7k + -4 Reorder the terms: 4 + k = 7k + -4 Reorder the terms: 4 + k = -4 + 7k Solving 4 + k = -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. 4 + k + -7k = -4 + 7k + -7k Combine like terms: k + -7k = -6k 4 + -6k = -4 + 7k + -7k Combine like terms: 7k + -7k = 0 4 + -6k = -4 + 0 4 + -6k = -4 Add '-4' to each side of the equation. 4 + -4 + -6k = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -6k = -4 + -4 -6k = -4 + -4 Combine like terms: -4 + -4 = -8 -6k = -8 Divide each side by '-6'. k = 1.333333333 Simplifying k = 1.333333333
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