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