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Simplifying 2(5k + 8) = -32 + 6k Reorder the terms: 2(8 + 5k) = -32 + 6k (8 * 2 + 5k * 2) = -32 + 6k (16 + 10k) = -32 + 6k Solving 16 + 10k = -32 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 16 + 10k + -6k = -32 + 6k + -6k Combine like terms: 10k + -6k = 4k 16 + 4k = -32 + 6k + -6k Combine like terms: 6k + -6k = 0 16 + 4k = -32 + 0 16 + 4k = -32 Add '-16' to each side of the equation. 16 + -16 + 4k = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 4k = -32 + -16 4k = -32 + -16 Combine like terms: -32 + -16 = -48 4k = -48 Divide each side by '4'. k = -12 Simplifying k = -12
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