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Simplifying 18k + -27 + -12k = 3k + 33 Reorder the terms: -27 + 18k + -12k = 3k + 33 Combine like terms: 18k + -12k = 6k -27 + 6k = 3k + 33 Reorder the terms: -27 + 6k = 33 + 3k Solving -27 + 6k = 33 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -27 + 6k + -3k = 33 + 3k + -3k Combine like terms: 6k + -3k = 3k -27 + 3k = 33 + 3k + -3k Combine like terms: 3k + -3k = 0 -27 + 3k = 33 + 0 -27 + 3k = 33 Add '27' to each side of the equation. -27 + 27 + 3k = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 3k = 33 + 27 3k = 33 + 27 Combine like terms: 33 + 27 = 60 3k = 60 Divide each side by '3'. k = 20 Simplifying k = 20
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