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Simplifying -5 + 4k + -3k = -1k + 7 Combine like terms: 4k + -3k = 1k -5 + 1k = -1k + 7 Reorder the terms: -5 + 1k = 7 + -1k Solving -5 + 1k = 7 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -5 + 1k + k = 7 + -1k + k Combine like terms: 1k + k = 2k -5 + 2k = 7 + -1k + k Combine like terms: -1k + k = 0 -5 + 2k = 7 + 0 -5 + 2k = 7 Add '5' to each side of the equation. -5 + 5 + 2k = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2k = 7 + 5 2k = 7 + 5 Combine like terms: 7 + 5 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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