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Simplifying 12 = 8 + 6k + -8 Reorder the terms: 12 = 8 + -8 + 6k Combine like terms: 8 + -8 = 0 12 = 0 + 6k 12 = 6k Solving 12 = 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. 12 + -6k = 6k + -6k Combine like terms: 6k + -6k = 0 12 + -6k = 0 Add '-12' to each side of the equation. 12 + -12 + -6k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6k = 0 + -12 -6k = 0 + -12 Combine like terms: 0 + -12 = -12 -6k = -12 Divide each side by '-6'. k = 2 Simplifying k = 2
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