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Simplifying 32 = 8k + 27 + 1k + 1 Reorder the terms: 32 = 27 + 1 + 8k + 1k Combine like terms: 27 + 1 = 28 32 = 28 + 8k + 1k Combine like terms: 8k + 1k = 9k 32 = 28 + 9k Solving 32 = 28 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 32 + -9k = 28 + 9k + -9k Combine like terms: 9k + -9k = 0 32 + -9k = 28 + 0 32 + -9k = 28 Add '-32' to each side of the equation. 32 + -32 + -9k = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -9k = 28 + -32 -9k = 28 + -32 Combine like terms: 28 + -32 = -4 -9k = -4 Divide each side by '-9'. k = 0.4444444444 Simplifying k = 0.4444444444
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