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Simplifying 6k + -3 = 2 + -9k Reorder the terms: -3 + 6k = 2 + -9k Solving -3 + 6k = 2 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -3 + 6k + 9k = 2 + -9k + 9k Combine like terms: 6k + 9k = 15k -3 + 15k = 2 + -9k + 9k Combine like terms: -9k + 9k = 0 -3 + 15k = 2 + 0 -3 + 15k = 2 Add '3' to each side of the equation. -3 + 3 + 15k = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 15k = 2 + 3 15k = 2 + 3 Combine like terms: 2 + 3 = 5 15k = 5 Divide each side by '15'. k = 0.3333333333 Simplifying k = 0.3333333333
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