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Simplifying 4k + -12 + 5k + 24 + -1k = 172 Reorder the terms: -12 + 24 + 4k + 5k + -1k = 172 Combine like terms: -12 + 24 = 12 12 + 4k + 5k + -1k = 172 Combine like terms: 4k + 5k = 9k 12 + 9k + -1k = 172 Combine like terms: 9k + -1k = 8k 12 + 8k = 172 Solving 12 + 8k = 172 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8k = 172 + -12 Combine like terms: 12 + -12 = 0 0 + 8k = 172 + -12 8k = 172 + -12 Combine like terms: 172 + -12 = 160 8k = 160 Divide each side by '8'. k = 20 Simplifying k = 20
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