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Simplifying k + -3 = 9 + 2 + -6k + 7 Reorder the terms: -3 + k = 9 + 2 + -6k + 7 Reorder the terms: -3 + k = 9 + 2 + 7 + -6k Combine like terms: 9 + 2 = 11 -3 + k = 11 + 7 + -6k Combine like terms: 11 + 7 = 18 -3 + k = 18 + -6k Solving -3 + k = 18 + -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. -3 + k + 6k = 18 + -6k + 6k Combine like terms: k + 6k = 7k -3 + 7k = 18 + -6k + 6k Combine like terms: -6k + 6k = 0 -3 + 7k = 18 + 0 -3 + 7k = 18 Add '3' to each side of the equation. -3 + 3 + 7k = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 7k = 18 + 3 7k = 18 + 3 Combine like terms: 18 + 3 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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