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Simplifying 2(4 + -5k) = -24 + -6k (4 * 2 + -5k * 2) = -24 + -6k (8 + -10k) = -24 + -6k Solving 8 + -10k = -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. 8 + -10k + 6k = -24 + -6k + 6k Combine like terms: -10k + 6k = -4k 8 + -4k = -24 + -6k + 6k Combine like terms: -6k + 6k = 0 8 + -4k = -24 + 0 8 + -4k = -24 Add '-8' to each side of the equation. 8 + -8 + -4k = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = -24 + -8 -4k = -24 + -8 Combine like terms: -24 + -8 = -32 -4k = -32 Divide each side by '-4'. k = 8 Simplifying k = 8
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