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Simplifying 17 + 8k = 1 + 2k + -8 Reorder the terms: 17 + 8k = 1 + -8 + 2k Combine like terms: 1 + -8 = -7 17 + 8k = -7 + 2k Solving 17 + 8k = -7 + 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. 17 + 8k + -2k = -7 + 2k + -2k Combine like terms: 8k + -2k = 6k 17 + 6k = -7 + 2k + -2k Combine like terms: 2k + -2k = 0 17 + 6k = -7 + 0 17 + 6k = -7 Add '-17' to each side of the equation. 17 + -17 + 6k = -7 + -17 Combine like terms: 17 + -17 = 0 0 + 6k = -7 + -17 6k = -7 + -17 Combine like terms: -7 + -17 = -24 6k = -24 Divide each side by '6'. k = -4 Simplifying k = -4
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