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Simplifying -11 = 1 + 4k + 8k Combine like terms: 4k + 8k = 12k -11 = 1 + 12k Solving -11 = 1 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -11 + -12k = 1 + 12k + -12k Combine like terms: 12k + -12k = 0 -11 + -12k = 1 + 0 -11 + -12k = 1 Add '11' to each side of the equation. -11 + 11 + -12k = 1 + 11 Combine like terms: -11 + 11 = 0 0 + -12k = 1 + 11 -12k = 1 + 11 Combine like terms: 1 + 11 = 12 -12k = 12 Divide each side by '-12'. k = -1 Simplifying k = -1
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