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Simplifying 4k + -8(-4 + -1k) = 5k + 32 4k + (-4 * -8 + -1k * -8) = 5k + 32 4k + (32 + 8k) = 5k + 32 Reorder the terms: 32 + 4k + 8k = 5k + 32 Combine like terms: 4k + 8k = 12k 32 + 12k = 5k + 32 Reorder the terms: 32 + 12k = 32 + 5k Add '-32' to each side of the equation. 32 + -32 + 12k = 32 + -32 + 5k Combine like terms: 32 + -32 = 0 0 + 12k = 32 + -32 + 5k 12k = 32 + -32 + 5k Combine like terms: 32 + -32 = 0 12k = 0 + 5k 12k = 5k Solving 12k = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 12k + -5k = 5k + -5k Combine like terms: 12k + -5k = 7k 7k = 5k + -5k Combine like terms: 5k + -5k = 0 7k = 0 Divide each side by '7'. k = 0 Simplifying k = 0
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