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