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