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Simplifying 6 + 9k = 12 + -8k Solving 6 + 9k = 12 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 6 + 9k + 8k = 12 + -8k + 8k Combine like terms: 9k + 8k = 17k 6 + 17k = 12 + -8k + 8k Combine like terms: -8k + 8k = 0 6 + 17k = 12 + 0 6 + 17k = 12 Add '-6' to each side of the equation. 6 + -6 + 17k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 17k = 12 + -6 17k = 12 + -6 Combine like terms: 12 + -6 = 6 17k = 6 Divide each side by '17'. k = 0.3529411765 Simplifying k = 0.3529411765
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