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Simplifying 6k + -3(k + 8) = 16 + 2k Reorder the terms: 6k + -3(8 + k) = 16 + 2k 6k + (8 * -3 + k * -3) = 16 + 2k 6k + (-24 + -3k) = 16 + 2k Reorder the terms: -24 + 6k + -3k = 16 + 2k Combine like terms: 6k + -3k = 3k -24 + 3k = 16 + 2k Solving -24 + 3k = 16 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -24 + 3k + -2k = 16 + 2k + -2k Combine like terms: 3k + -2k = 1k -24 + 1k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 -24 + 1k = 16 + 0 -24 + 1k = 16 Add '24' to each side of the equation. -24 + 24 + 1k = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 1k = 16 + 24 1k = 16 + 24 Combine like terms: 16 + 24 = 40 1k = 40 Divide each side by '1'. k = 40 Simplifying k = 40
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