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Simplifying 10k + -9 = 12k + 11 Reorder the terms: -9 + 10k = 12k + 11 Reorder the terms: -9 + 10k = 11 + 12k Solving -9 + 10k = 11 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -9 + 10k + -12k = 11 + 12k + -12k Combine like terms: 10k + -12k = -2k -9 + -2k = 11 + 12k + -12k Combine like terms: 12k + -12k = 0 -9 + -2k = 11 + 0 -9 + -2k = 11 Add '9' to each side of the equation. -9 + 9 + -2k = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -2k = 11 + 9 -2k = 11 + 9 Combine like terms: 11 + 9 = 20 -2k = 20 Divide each side by '-2'. k = -10 Simplifying k = -10
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