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Simplifying 4 + 1 + 8k + -4k = k + -1 Combine like terms: 4 + 1 = 5 5 + 8k + -4k = k + -1 Combine like terms: 8k + -4k = 4k 5 + 4k = k + -1 Reorder the terms: 5 + 4k = -1 + k Solving 5 + 4k = -1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 5 + 4k + -1k = -1 + k + -1k Combine like terms: 4k + -1k = 3k 5 + 3k = -1 + k + -1k Combine like terms: k + -1k = 0 5 + 3k = -1 + 0 5 + 3k = -1 Add '-5' to each side of the equation. 5 + -5 + 3k = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = -1 + -5 3k = -1 + -5 Combine like terms: -1 + -5 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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