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Simplifying 9 = 7k + -13k + -21 Reorder the terms: 9 = -21 + 7k + -13k Combine like terms: 7k + -13k = -6k 9 = -21 + -6k Solving 9 = -21 + -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. 9 + 6k = -21 + -6k + 6k Combine like terms: -6k + 6k = 0 9 + 6k = -21 + 0 9 + 6k = -21 Add '-9' to each side of the equation. 9 + -9 + 6k = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 6k = -21 + -9 6k = -21 + -9 Combine like terms: -21 + -9 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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