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