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Simplifying 6k + -3(1 + -2k) = 33 6k + (1 * -3 + -2k * -3) = 33 6k + (-3 + 6k) = 33 Reorder the terms: -3 + 6k + 6k = 33 Combine like terms: 6k + 6k = 12k -3 + 12k = 33 Solving -3 + 12k = 33 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 12k = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 12k = 33 + 3 12k = 33 + 3 Combine like terms: 33 + 3 = 36 12k = 36 Divide each side by '12'. k = 3 Simplifying k = 3
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