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Simplifying 42 + 6k = -6k + 54 Reorder the terms: 42 + 6k = 54 + -6k Solving 42 + 6k = 54 + -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. 42 + 6k + 6k = 54 + -6k + 6k Combine like terms: 6k + 6k = 12k 42 + 12k = 54 + -6k + 6k Combine like terms: -6k + 6k = 0 42 + 12k = 54 + 0 42 + 12k = 54 Add '-42' to each side of the equation. 42 + -42 + 12k = 54 + -42 Combine like terms: 42 + -42 = 0 0 + 12k = 54 + -42 12k = 54 + -42 Combine like terms: 54 + -42 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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