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