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Simplifying 5k + -1 = 2k + 5 Reorder the terms: -1 + 5k = 2k + 5 Reorder the terms: -1 + 5k = 5 + 2k Solving -1 + 5k = 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 + 5k + -2k = 5 + 2k + -2k Combine like terms: 5k + -2k = 3k -1 + 3k = 5 + 2k + -2k Combine like terms: 2k + -2k = 0 -1 + 3k = 5 + 0 -1 + 3k = 5 Add '1' to each side of the equation. -1 + 1 + 3k = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 3k = 5 + 1 3k = 5 + 1 Combine like terms: 5 + 1 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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