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Simplifying -4(5k + 6) = 32 + -6k Reorder the terms: -4(6 + 5k) = 32 + -6k (6 * -4 + 5k * -4) = 32 + -6k (-24 + -20k) = 32 + -6k Solving -24 + -20k = 32 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -24 + -20k + 6k = 32 + -6k + 6k Combine like terms: -20k + 6k = -14k -24 + -14k = 32 + -6k + 6k Combine like terms: -6k + 6k = 0 -24 + -14k = 32 + 0 -24 + -14k = 32 Add '24' to each side of the equation. -24 + 24 + -14k = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -14k = 32 + 24 -14k = 32 + 24 Combine like terms: 32 + 24 = 56 -14k = 56 Divide each side by '-14'. k = -4 Simplifying k = -4
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