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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 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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