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Simplifying -8 + k = 8 + -1k Solving -8 + k = 8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -8 + k + k = 8 + -1k + k Combine like terms: k + k = 2k -8 + 2k = 8 + -1k + k Combine like terms: -1k + k = 0 -8 + 2k = 8 + 0 -8 + 2k = 8 Add '8' to each side of the equation. -8 + 8 + 2k = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = 8 + 8 2k = 8 + 8 Combine like terms: 8 + 8 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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