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