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Simplifying -6(5k + 4) = -114 Reorder the terms: -6(4 + 5k) = -114 (4 * -6 + 5k * -6) = -114 (-24 + -30k) = -114 Solving -24 + -30k = -114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -30k = -114 + 24 Combine like terms: -24 + 24 = 0 0 + -30k = -114 + 24 -30k = -114 + 24 Combine like terms: -114 + 24 = -90 -30k = -90 Divide each side by '-30'. k = 3 Simplifying k = 3
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