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