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Simplifying -8k + -24 = -6(1 + k) + -5k Reorder the terms: -24 + -8k = -6(1 + k) + -5k -24 + -8k = (1 * -6 + k * -6) + -5k -24 + -8k = (-6 + -6k) + -5k Combine like terms: -6k + -5k = -11k -24 + -8k = -6 + -11k Solving -24 + -8k = -6 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -24 + -8k + 11k = -6 + -11k + 11k Combine like terms: -8k + 11k = 3k -24 + 3k = -6 + -11k + 11k Combine like terms: -11k + 11k = 0 -24 + 3k = -6 + 0 -24 + 3k = -6 Add '24' to each side of the equation. -24 + 24 + 3k = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 3k = -6 + 24 3k = -6 + 24 Combine like terms: -6 + 24 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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