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Simplifying 24 + -6k = 6(k + -4) Reorder the terms: 24 + -6k = 6(-4 + k) 24 + -6k = (-4 * 6 + k * 6) 24 + -6k = (-24 + 6k) Solving 24 + -6k = -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. 24 + -6k + -6k = -24 + 6k + -6k Combine like terms: -6k + -6k = -12k 24 + -12k = -24 + 6k + -6k Combine like terms: 6k + -6k = 0 24 + -12k = -24 + 0 24 + -12k = -24 Add '-24' to each side of the equation. 24 + -24 + -12k = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -12k = -24 + -24 -12k = -24 + -24 Combine like terms: -24 + -24 = -48 -12k = -48 Divide each side by '-12'. k = 4 Simplifying k = 4
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