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Simplifying 4 + -5k = -2k + 7 + -6k Reorder the terms: 4 + -5k = 7 + -2k + -6k Combine like terms: -2k + -6k = -8k 4 + -5k = 7 + -8k Solving 4 + -5k = 7 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 4 + -5k + 8k = 7 + -8k + 8k Combine like terms: -5k + 8k = 3k 4 + 3k = 7 + -8k + 8k Combine like terms: -8k + 8k = 0 4 + 3k = 7 + 0 4 + 3k = 7 Add '-4' to each side of the equation. 4 + -4 + 3k = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 7 + -4 3k = 7 + -4 Combine like terms: 7 + -4 = 3 3k = 3 Divide each side by '3'. k = 1 Simplifying k = 1
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