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Simplifying 24 + -6k = -2(-2 + 5k) 24 + -6k = (-2 * -2 + 5k * -2) 24 + -6k = (4 + -10k) Solving 24 + -6k = 4 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 24 + -6k + 10k = 4 + -10k + 10k Combine like terms: -6k + 10k = 4k 24 + 4k = 4 + -10k + 10k Combine like terms: -10k + 10k = 0 24 + 4k = 4 + 0 24 + 4k = 4 Add '-24' to each side of the equation. 24 + -24 + 4k = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4k = 4 + -24 4k = 4 + -24 Combine like terms: 4 + -24 = -20 4k = -20 Divide each side by '4'. k = -5 Simplifying k = -5
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