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Simplifying -7 + 2k + 6 + 9k = 0 Reorder the terms: -7 + 6 + 2k + 9k = 0 Combine like terms: -7 + 6 = -1 -1 + 2k + 9k = 0 Combine like terms: 2k + 9k = 11k -1 + 11k = 0 Solving -1 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 11k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11k = 0 + 1 11k = 0 + 1 Combine like terms: 0 + 1 = 1 11k = 1 Divide each side by '11'. k = 0.09090909091 Simplifying k = 0.09090909091
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