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Simplifying 7k + (3k + -5) = 55 Reorder the terms: 7k + (-5 + 3k) = 55 Remove parenthesis around (-5 + 3k) 7k + -5 + 3k = 55 Reorder the terms: -5 + 7k + 3k = 55 Combine like terms: 7k + 3k = 10k -5 + 10k = 55 Solving -5 + 10k = 55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 10k = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 10k = 55 + 5 10k = 55 + 5 Combine like terms: 55 + 5 = 60 10k = 60 Divide each side by '10'. k = 6 Simplifying k = 6
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