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Simplifying -9 + -1k = 7 + k Solving -9 + -1k = 7 + 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. -9 + -1k + -1k = 7 + k + -1k Combine like terms: -1k + -1k = -2k -9 + -2k = 7 + k + -1k Combine like terms: k + -1k = 0 -9 + -2k = 7 + 0 -9 + -2k = 7 Add '9' to each side of the equation. -9 + 9 + -2k = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -2k = 7 + 9 -2k = 7 + 9 Combine like terms: 7 + 9 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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