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Simplifying k + 252 = -6k + -7 Reorder the terms: 252 + k = -6k + -7 Reorder the terms: 252 + k = -7 + -6k Solving 252 + k = -7 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 252 + k + 6k = -7 + -6k + 6k Combine like terms: k + 6k = 7k 252 + 7k = -7 + -6k + 6k Combine like terms: -6k + 6k = 0 252 + 7k = -7 + 0 252 + 7k = -7 Add '-252' to each side of the equation. 252 + -252 + 7k = -7 + -252 Combine like terms: 252 + -252 = 0 0 + 7k = -7 + -252 7k = -7 + -252 Combine like terms: -7 + -252 = -259 7k = -259 Divide each side by '7'. k = -37 Simplifying k = -37
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