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Simplifying -3k + 2 = 6k + -8 + -1 Reorder the terms: 2 + -3k = 6k + -8 + -1 Reorder the terms: 2 + -3k = -8 + -1 + 6k Combine like terms: -8 + -1 = -9 2 + -3k = -9 + 6k Solving 2 + -3k = -9 + 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 + -3k + -6k = -9 + 6k + -6k Combine like terms: -3k + -6k = -9k 2 + -9k = -9 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + -9k = -9 + 0 2 + -9k = -9 Add '-2' to each side of the equation. 2 + -2 + -9k = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -9k = -9 + -2 -9k = -9 + -2 Combine like terms: -9 + -2 = -11 -9k = -11 Divide each side by '-9'. k = 1.222222222 Simplifying k = 1.222222222
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