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Simplifying -35 + 6k = k + -2k Combine like terms: k + -2k = -1k -35 + 6k = -1k Solving -35 + 6k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -35 + 6k + k = -1k + k Combine like terms: 6k + k = 7k -35 + 7k = -1k + k Combine like terms: -1k + k = 0 -35 + 7k = 0 Add '35' to each side of the equation. -35 + 35 + 7k = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7k = 0 + 35 7k = 0 + 35 Combine like terms: 0 + 35 = 35 7k = 35 Divide each side by '7'. k = 5 Simplifying k = 5
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