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Simplifying 2k + 8k + -5 = 9k + 4 Reorder the terms: -5 + 2k + 8k = 9k + 4 Combine like terms: 2k + 8k = 10k -5 + 10k = 9k + 4 Reorder the terms: -5 + 10k = 4 + 9k Solving -5 + 10k = 4 + 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. -5 + 10k + -9k = 4 + 9k + -9k Combine like terms: 10k + -9k = 1k -5 + 1k = 4 + 9k + -9k Combine like terms: 9k + -9k = 0 -5 + 1k = 4 + 0 -5 + 1k = 4 Add '5' to each side of the equation. -5 + 5 + 1k = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = 4 + 5 1k = 4 + 5 Combine like terms: 4 + 5 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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