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Simplifying k + -7 + 8k + 6 = 0 Reorder the terms: -7 + 6 + k + 8k = 0 Combine like terms: -7 + 6 = -1 -1 + k + 8k = 0 Combine like terms: k + 8k = 9k -1 + 9k = 0 Solving -1 + 9k = 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 + 9k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9k = 0 + 1 9k = 0 + 1 Combine like terms: 0 + 1 = 1 9k = 1 Divide each side by '9'. k = 0.1111111111 Simplifying k = 0.1111111111
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