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