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