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Simplifying 8k + -9 + -10k = -5k + 9 Reorder the terms: -9 + 8k + -10k = -5k + 9 Combine like terms: 8k + -10k = -2k -9 + -2k = -5k + 9 Reorder the terms: -9 + -2k = 9 + -5k Solving -9 + -2k = 9 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -9 + -2k + 5k = 9 + -5k + 5k Combine like terms: -2k + 5k = 3k -9 + 3k = 9 + -5k + 5k Combine like terms: -5k + 5k = 0 -9 + 3k = 9 + 0 -9 + 3k = 9 Add '9' to each side of the equation. -9 + 9 + 3k = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 3k = 9 + 9 3k = 9 + 9 Combine like terms: 9 + 9 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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