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Simplifying 6k + -1(7 + -6k) = -89 6k + (7 * -1 + -6k * -1) = -89 6k + (-7 + 6k) = -89 Reorder the terms: -7 + 6k + 6k = -89 Combine like terms: 6k + 6k = 12k -7 + 12k = -89 Solving -7 + 12k = -89 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 = -89 + 7 Combine like terms: -7 + 7 = 0 0 + 12k = -89 + 7 12k = -89 + 7 Combine like terms: -89 + 7 = -82 12k = -82 Divide each side by '12'. k = -6.833333333 Simplifying k = -6.833333333
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