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