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Simplifying -4k + -1 + -8k = 6 + -5k Reorder the terms: -1 + -4k + -8k = 6 + -5k Combine like terms: -4k + -8k = -12k -1 + -12k = 6 + -5k Solving -1 + -12k = 6 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -1 + -12k + 5k = 6 + -5k + 5k Combine like terms: -12k + 5k = -7k -1 + -7k = 6 + -5k + 5k Combine like terms: -5k + 5k = 0 -1 + -7k = 6 + 0 -1 + -7k = 6 Add '1' to each side of the equation. -1 + 1 + -7k = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -7k = 6 + 1 -7k = 6 + 1 Combine like terms: 6 + 1 = 7 -7k = 7 Divide each side by '-7'. k = -1 Simplifying k = -1
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