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Simplifying k + -6 = 12 + -5k Reorder the terms: -6 + k = 12 + -5k Solving -6 + k = 12 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + k + 5k = 12 + -5k + 5k Combine like terms: k + 5k = 6k -6 + 6k = 12 + -5k + 5k Combine like terms: -5k + 5k = 0 -6 + 6k = 12 + 0 -6 + 6k = 12 Add '6' to each side of the equation. -6 + 6 + 6k = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6k = 12 + 6 6k = 12 + 6 Combine like terms: 12 + 6 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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