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Simplifying 3k + -1 + k = 5 + 2k + -4 Reorder the terms: -1 + 3k + k = 5 + 2k + -4 Combine like terms: 3k + k = 4k -1 + 4k = 5 + 2k + -4 Reorder the terms: -1 + 4k = 5 + -4 + 2k Combine like terms: 5 + -4 = 1 -1 + 4k = 1 + 2k Solving -1 + 4k = 1 + 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 = 1 + 2k + -2k Combine like terms: 4k + -2k = 2k -1 + 2k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 -1 + 2k = 1 + 0 -1 + 2k = 1 Add '1' to each side of the equation. -1 + 1 + 2k = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2k = 1 + 1 2k = 1 + 1 Combine like terms: 1 + 1 = 2 2k = 2 Divide each side by '2'. k = 1 Simplifying k = 1
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