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Simplifying 32 + -8k + k = 8 + k Combine like terms: -8k + k = -7k 32 + -7k = 8 + k Solving 32 + -7k = 8 + k 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. 32 + -7k + -1k = 8 + k + -1k Combine like terms: -7k + -1k = -8k 32 + -8k = 8 + k + -1k Combine like terms: k + -1k = 0 32 + -8k = 8 + 0 32 + -8k = 8 Add '-32' to each side of the equation. 32 + -32 + -8k = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8k = 8 + -32 -8k = 8 + -32 Combine like terms: 8 + -32 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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