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Simplifying 2(3k + -1) = 32 Reorder the terms: 2(-1 + 3k) = 32 (-1 * 2 + 3k * 2) = 32 (-2 + 6k) = 32 Solving -2 + 6k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6k = 32 + 2 Combine like terms: -2 + 2 = 0 0 + 6k = 32 + 2 6k = 32 + 2 Combine like terms: 32 + 2 = 34 6k = 34 Divide each side by '6'. k = 5.666666667 Simplifying k = 5.666666667
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