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Simplifying 12 + -7k + 9 + -1k = 0 Reorder the terms: 12 + 9 + -7k + -1k = 0 Combine like terms: 12 + 9 = 21 21 + -7k + -1k = 0 Combine like terms: -7k + -1k = -8k 21 + -8k = 0 Solving 21 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -8k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -8k = 0 + -21 -8k = 0 + -21 Combine like terms: 0 + -21 = -21 -8k = -21 Divide each side by '-8'. k = 2.625 Simplifying k = 2.625
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