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Simplifying 12(-1k + 10) = 8k + -12(-10 + 7k) Reorder the terms: 12(10 + -1k) = 8k + -12(-10 + 7k) (10 * 12 + -1k * 12) = 8k + -12(-10 + 7k) (120 + -12k) = 8k + -12(-10 + 7k) 120 + -12k = 8k + (-10 * -12 + 7k * -12) 120 + -12k = 8k + (120 + -84k) Reorder the terms: 120 + -12k = 120 + 8k + -84k Combine like terms: 8k + -84k = -76k 120 + -12k = 120 + -76k Add '-120' to each side of the equation. 120 + -120 + -12k = 120 + -120 + -76k Combine like terms: 120 + -120 = 0 0 + -12k = 120 + -120 + -76k -12k = 120 + -120 + -76k Combine like terms: 120 + -120 = 0 -12k = 0 + -76k -12k = -76k Solving -12k = -76k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '76k' to each side of the equation. -12k + 76k = -76k + 76k Combine like terms: -12k + 76k = 64k 64k = -76k + 76k Combine like terms: -76k + 76k = 0 64k = 0 Divide each side by '64'. k = 0 Simplifying k = 0
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