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Simplifying 11(k + 10) + -2(5k + -5) = 9k + 7k Reorder the terms: 11(10 + k) + -2(5k + -5) = 9k + 7k (10 * 11 + k * 11) + -2(5k + -5) = 9k + 7k (110 + 11k) + -2(5k + -5) = 9k + 7k Reorder the terms: 110 + 11k + -2(-5 + 5k) = 9k + 7k 110 + 11k + (-5 * -2 + 5k * -2) = 9k + 7k 110 + 11k + (10 + -10k) = 9k + 7k Reorder the terms: 110 + 10 + 11k + -10k = 9k + 7k Combine like terms: 110 + 10 = 120 120 + 11k + -10k = 9k + 7k Combine like terms: 11k + -10k = 1k 120 + 1k = 9k + 7k Combine like terms: 9k + 7k = 16k 120 + 1k = 16k Solving 120 + 1k = 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 120 + 1k + -16k = 16k + -16k Combine like terms: 1k + -16k = -15k 120 + -15k = 16k + -16k Combine like terms: 16k + -16k = 0 120 + -15k = 0 Add '-120' to each side of the equation. 120 + -120 + -15k = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -15k = 0 + -120 -15k = 0 + -120 Combine like terms: 0 + -120 = -120 -15k = -120 Divide each side by '-15'. k = 8 Simplifying k = 8
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