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Simplifying 24 + -6k = 3(k + -2) Reorder the terms: 24 + -6k = 3(-2 + k) 24 + -6k = (-2 * 3 + k * 3) 24 + -6k = (-6 + 3k) Solving 24 + -6k = -6 + 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. 24 + -6k + -3k = -6 + 3k + -3k Combine like terms: -6k + -3k = -9k 24 + -9k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 24 + -9k = -6 + 0 24 + -9k = -6 Add '-24' to each side of the equation. 24 + -24 + -9k = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -9k = -6 + -24 -9k = -6 + -24 Combine like terms: -6 + -24 = -30 -9k = -30 Divide each side by '-9'. k = 3.333333333 Simplifying k = 3.333333333
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