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Simplifying 18 + -6 = 3k + -6k + -24 Combine like terms: 18 + -6 = 12 12 = 3k + -6k + -24 Reorder the terms: 12 = -24 + 3k + -6k Combine like terms: 3k + -6k = -3k 12 = -24 + -3k Solving 12 = -24 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 12 + 3k = -24 + -3k + 3k Combine like terms: -3k + 3k = 0 12 + 3k = -24 + 0 12 + 3k = -24 Add '-12' to each side of the equation. 12 + -12 + 3k = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = -24 + -12 3k = -24 + -12 Combine like terms: -24 + -12 = -36 3k = -36 Divide each side by '3'. k = -12 Simplifying k = -12
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