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Simplifying 6k + -1(7 + -6k) = 0 6k + (7 * -1 + -6k * -1) = 0 6k + (-7 + 6k) = 0 Reorder the terms: -7 + 6k + 6k = 0 Combine like terms: 6k + 6k = 12k -7 + 12k = 0 Solving -7 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12k = 0 + 7 12k = 0 + 7 Combine like terms: 0 + 7 = 7 12k = 7 Divide each side by '12'. k = 0.5833333333 Simplifying k = 0.5833333333
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