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Simplifying 2 = 4(3k + -8) + -1k Reorder the terms: 2 = 4(-8 + 3k) + -1k 2 = (-8 * 4 + 3k * 4) + -1k 2 = (-32 + 12k) + -1k Combine like terms: 12k + -1k = 11k 2 = -32 + 11k Solving 2 = -32 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 2 + -11k = -32 + 11k + -11k Combine like terms: 11k + -11k = 0 2 + -11k = -32 + 0 2 + -11k = -32 Add '-2' to each side of the equation. 2 + -2 + -11k = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -11k = -32 + -2 -11k = -32 + -2 Combine like terms: -32 + -2 = -34 -11k = -34 Divide each side by '-11'. k = 3.090909091 Simplifying k = 3.090909091
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