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Simplifying 8(100 + -1k) + 10k = 840 (100 * 8 + -1k * 8) + 10k = 840 (800 + -8k) + 10k = 840 Combine like terms: -8k + 10k = 2k 800 + 2k = 840 Solving 800 + 2k = 840 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + 2k = 840 + -800 Combine like terms: 800 + -800 = 0 0 + 2k = 840 + -800 2k = 840 + -800 Combine like terms: 840 + -800 = 40 2k = 40 Divide each side by '2'. k = 20 Simplifying k = 20
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