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