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Simplifying -1(1 + 4k) = 24 + k (1 * -1 + 4k * -1) = 24 + k (-1 + -4k) = 24 + k Solving -1 + -4k = 24 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -1 + -4k + -1k = 24 + k + -1k Combine like terms: -4k + -1k = -5k -1 + -5k = 24 + k + -1k Combine like terms: k + -1k = 0 -1 + -5k = 24 + 0 -1 + -5k = 24 Add '1' to each side of the equation. -1 + 1 + -5k = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -5k = 24 + 1 -5k = 24 + 1 Combine like terms: 24 + 1 = 25 -5k = 25 Divide each side by '-5'. k = -5 Simplifying k = -5
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