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Simplifying 6(k + 4) = 8k + 2 Reorder the terms: 6(4 + k) = 8k + 2 (4 * 6 + k * 6) = 8k + 2 (24 + 6k) = 8k + 2 Reorder the terms: 24 + 6k = 2 + 8k Solving 24 + 6k = 2 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 24 + 6k + -8k = 2 + 8k + -8k Combine like terms: 6k + -8k = -2k 24 + -2k = 2 + 8k + -8k Combine like terms: 8k + -8k = 0 24 + -2k = 2 + 0 24 + -2k = 2 Add '-24' to each side of the equation. 24 + -24 + -2k = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -2k = 2 + -24 -2k = 2 + -24 Combine like terms: 2 + -24 = -22 -2k = -22 Divide each side by '-2'. k = 11 Simplifying k = 11
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