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Simplifying k + -2 = 8 + 6k Reorder the terms: -2 + k = 8 + 6k Solving -2 + k = 8 + 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. -2 + k + -6k = 8 + 6k + -6k Combine like terms: k + -6k = -5k -2 + -5k = 8 + 6k + -6k Combine like terms: 6k + -6k = 0 -2 + -5k = 8 + 0 -2 + -5k = 8 Add '2' to each side of the equation. -2 + 2 + -5k = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5k = 8 + 2 -5k = 8 + 2 Combine like terms: 8 + 2 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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