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Simplifying 36 = (18 + -7k) + 22 Remove parenthesis around (18 + -7k) 36 = 18 + -7k + 22 Reorder the terms: 36 = 18 + 22 + -7k Combine like terms: 18 + 22 = 40 36 = 40 + -7k Solving 36 = 40 + -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. 36 + 7k = 40 + -7k + 7k Combine like terms: -7k + 7k = 0 36 + 7k = 40 + 0 36 + 7k = 40 Add '-36' to each side of the equation. 36 + -36 + 7k = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 7k = 40 + -36 7k = 40 + -36 Combine like terms: 40 + -36 = 4 7k = 4 Divide each side by '7'. k = 0.5714285714 Simplifying k = 0.5714285714
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