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Simplifying 3(k + -6) = 2 + -1k Reorder the terms: 3(-6 + k) = 2 + -1k (-6 * 3 + k * 3) = 2 + -1k (-18 + 3k) = 2 + -1k Solving -18 + 3k = 2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -18 + 3k + k = 2 + -1k + k Combine like terms: 3k + k = 4k -18 + 4k = 2 + -1k + k Combine like terms: -1k + k = 0 -18 + 4k = 2 + 0 -18 + 4k = 2 Add '18' to each side of the equation. -18 + 18 + 4k = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 4k = 2 + 18 4k = 2 + 18 Combine like terms: 2 + 18 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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