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Simplifying 5(k + 5) = 24 + -6k Reorder the terms: 5(5 + k) = 24 + -6k (5 * 5 + k * 5) = 24 + -6k (25 + 5k) = 24 + -6k Solving 25 + 5k = 24 + -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. 25 + 5k + 6k = 24 + -6k + 6k Combine like terms: 5k + 6k = 11k 25 + 11k = 24 + -6k + 6k Combine like terms: -6k + 6k = 0 25 + 11k = 24 + 0 25 + 11k = 24 Add '-25' to each side of the equation. 25 + -25 + 11k = 24 + -25 Combine like terms: 25 + -25 = 0 0 + 11k = 24 + -25 11k = 24 + -25 Combine like terms: 24 + -25 = -1 11k = -1 Divide each side by '11'. k = -0.09090909091 Simplifying k = -0.09090909091
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