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Simplifying 24 + 2k = -4(k + -3) Reorder the terms: 24 + 2k = -4(-3 + k) 24 + 2k = (-3 * -4 + k * -4) 24 + 2k = (12 + -4k) Solving 24 + 2k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 24 + 2k + 4k = 12 + -4k + 4k Combine like terms: 2k + 4k = 6k 24 + 6k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 24 + 6k = 12 + 0 24 + 6k = 12 Add '-24' to each side of the equation. 24 + -24 + 6k = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 6k = 12 + -24 6k = 12 + -24 Combine like terms: 12 + -24 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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