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Simplifying 24 + 8k = 8k + 6(k + -4) Reorder the terms: 24 + 8k = 8k + 6(-4 + k) 24 + 8k = 8k + (-4 * 6 + k * 6) 24 + 8k = 8k + (-24 + 6k) Reorder the terms: 24 + 8k = -24 + 8k + 6k Combine like terms: 8k + 6k = 14k 24 + 8k = -24 + 14k Solving 24 + 8k = -24 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 24 + 8k + -14k = -24 + 14k + -14k Combine like terms: 8k + -14k = -6k 24 + -6k = -24 + 14k + -14k Combine like terms: 14k + -14k = 0 24 + -6k = -24 + 0 24 + -6k = -24 Add '-24' to each side of the equation. 24 + -24 + -6k = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -6k = -24 + -24 -6k = -24 + -24 Combine like terms: -24 + -24 = -48 -6k = -48 Divide each side by '-6'. k = 8 Simplifying k = 8
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