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Simplifying 4k + -8 = 1 + -1k + -4k Reorder the terms: -8 + 4k = 1 + -1k + -4k Combine like terms: -1k + -4k = -5k -8 + 4k = 1 + -5k Solving -8 + 4k = 1 + -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. -8 + 4k + 5k = 1 + -5k + 5k Combine like terms: 4k + 5k = 9k -8 + 9k = 1 + -5k + 5k Combine like terms: -5k + 5k = 0 -8 + 9k = 1 + 0 -8 + 9k = 1 Add '8' to each side of the equation. -8 + 8 + 9k = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 9k = 1 + 8 9k = 1 + 8 Combine like terms: 1 + 8 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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