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Simplifying 1 + -4k + -2 = 11 + -8k Reorder the terms: 1 + -2 + -4k = 11 + -8k Combine like terms: 1 + -2 = -1 -1 + -4k = 11 + -8k Solving -1 + -4k = 11 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -1 + -4k + 8k = 11 + -8k + 8k Combine like terms: -4k + 8k = 4k -1 + 4k = 11 + -8k + 8k Combine like terms: -8k + 8k = 0 -1 + 4k = 11 + 0 -1 + 4k = 11 Add '1' to each side of the equation. -1 + 1 + 4k = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 4k = 11 + 1 4k = 11 + 1 Combine like terms: 11 + 1 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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