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Simplifying 11k + -198 = 2(6 + -5k) Reorder the terms: -198 + 11k = 2(6 + -5k) -198 + 11k = (6 * 2 + -5k * 2) -198 + 11k = (12 + -10k) Solving -198 + 11k = 12 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -198 + 11k + 10k = 12 + -10k + 10k Combine like terms: 11k + 10k = 21k -198 + 21k = 12 + -10k + 10k Combine like terms: -10k + 10k = 0 -198 + 21k = 12 + 0 -198 + 21k = 12 Add '198' to each side of the equation. -198 + 198 + 21k = 12 + 198 Combine like terms: -198 + 198 = 0 0 + 21k = 12 + 198 21k = 12 + 198 Combine like terms: 12 + 198 = 210 21k = 210 Divide each side by '21'. k = 10 Simplifying k = 10
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