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Simplifying -6(-1 + -5k) = -114 (-1 * -6 + -5k * -6) = -114 (6 + 30k) = -114 Solving 6 + 30k = -114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 30k = -114 + -6 Combine like terms: 6 + -6 = 0 0 + 30k = -114 + -6 30k = -114 + -6 Combine like terms: -114 + -6 = -120 30k = -120 Divide each side by '30'. k = -4 Simplifying k = -4
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