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Simplifying 3(2k + -1) = 2 + -3k + -2 Reorder the terms: 3(-1 + 2k) = 2 + -3k + -2 (-1 * 3 + 2k * 3) = 2 + -3k + -2 (-3 + 6k) = 2 + -3k + -2 Reorder the terms: -3 + 6k = 2 + -2 + -3k Combine like terms: 2 + -2 = 0 -3 + 6k = 0 + -3k -3 + 6k = -3k Solving -3 + 6k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -3 + 6k + 3k = -3k + 3k Combine like terms: 6k + 3k = 9k -3 + 9k = -3k + 3k Combine like terms: -3k + 3k = 0 -3 + 9k = 0 Add '3' to each side of the equation. -3 + 3 + 9k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9k = 0 + 3 9k = 0 + 3 Combine like terms: 0 + 3 = 3 9k = 3 Divide each side by '9'. k = 0.3333333333 Simplifying k = 0.3333333333
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