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Simplifying -9 = 7 + -2k + -6 Reorder the terms: -9 = 7 + -6 + -2k Combine like terms: 7 + -6 = 1 -9 = 1 + -2k Solving -9 = 1 + -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. -9 + 2k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 -9 + 2k = 1 + 0 -9 + 2k = 1 Add '9' to each side of the equation. -9 + 9 + 2k = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 2k = 1 + 9 2k = 1 + 9 Combine like terms: 1 + 9 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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