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Simplifying -4(6 + -1k) = -18 + 5k (6 * -4 + -1k * -4) = -18 + 5k (-24 + 4k) = -18 + 5k Solving -24 + 4k = -18 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -24 + 4k + -5k = -18 + 5k + -5k Combine like terms: 4k + -5k = -1k -24 + -1k = -18 + 5k + -5k Combine like terms: 5k + -5k = 0 -24 + -1k = -18 + 0 -24 + -1k = -18 Add '24' to each side of the equation. -24 + 24 + -1k = -18 + 24 Combine like terms: -24 + 24 = 0 0 + -1k = -18 + 24 -1k = -18 + 24 Combine like terms: -18 + 24 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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