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Simplifying 3(-8 + k) + 6(1 + 6k) = 21 (-8 * 3 + k * 3) + 6(1 + 6k) = 21 (-24 + 3k) + 6(1 + 6k) = 21 -24 + 3k + (1 * 6 + 6k * 6) = 21 -24 + 3k + (6 + 36k) = 21 Reorder the terms: -24 + 6 + 3k + 36k = 21 Combine like terms: -24 + 6 = -18 -18 + 3k + 36k = 21 Combine like terms: 3k + 36k = 39k -18 + 39k = 21 Solving -18 + 39k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 39k = 21 + 18 Combine like terms: -18 + 18 = 0 0 + 39k = 21 + 18 39k = 21 + 18 Combine like terms: 21 + 18 = 39 39k = 39 Divide each side by '39'. k = 1 Simplifying k = 1
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