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Simplifying 6k + -6 + 6k = 6 + 7k + 8k Reorder the terms: -6 + 6k + 6k = 6 + 7k + 8k Combine like terms: 6k + 6k = 12k -6 + 12k = 6 + 7k + 8k Combine like terms: 7k + 8k = 15k -6 + 12k = 6 + 15k Solving -6 + 12k = 6 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -6 + 12k + -15k = 6 + 15k + -15k Combine like terms: 12k + -15k = -3k -6 + -3k = 6 + 15k + -15k Combine like terms: 15k + -15k = 0 -6 + -3k = 6 + 0 -6 + -3k = 6 Add '6' to each side of the equation. -6 + 6 + -3k = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3k = 6 + 6 -3k = 6 + 6 Combine like terms: 6 + 6 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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