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Simplifying 8 + 6k = 10k + 12 Reorder the terms: 8 + 6k = 12 + 10k Solving 8 + 6k = 12 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 8 + 6k + -10k = 12 + 10k + -10k Combine like terms: 6k + -10k = -4k 8 + -4k = 12 + 10k + -10k Combine like terms: 10k + -10k = 0 8 + -4k = 12 + 0 8 + -4k = 12 Add '-8' to each side of the equation. 8 + -8 + -4k = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = 12 + -8 -4k = 12 + -8 Combine like terms: 12 + -8 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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