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Simplifying 12k + -54 = 2(3 + 3k) Reorder the terms: -54 + 12k = 2(3 + 3k) -54 + 12k = (3 * 2 + 3k * 2) -54 + 12k = (6 + 6k) Solving -54 + 12k = 6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -54 + 12k + -6k = 6 + 6k + -6k Combine like terms: 12k + -6k = 6k -54 + 6k = 6 + 6k + -6k Combine like terms: 6k + -6k = 0 -54 + 6k = 6 + 0 -54 + 6k = 6 Add '54' to each side of the equation. -54 + 54 + 6k = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 6k = 6 + 54 6k = 6 + 54 Combine like terms: 6 + 54 = 60 6k = 60 Divide each side by '6'. k = 10 Simplifying k = 10
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