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Simplifying -17 + 2k = (-1 + 8k) + 7k Remove parenthesis around (-1 + 8k) -17 + 2k = -1 + 8k + 7k Combine like terms: 8k + 7k = 15k -17 + 2k = -1 + 15k Solving -17 + 2k = -1 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -17 + 2k + -15k = -1 + 15k + -15k Combine like terms: 2k + -15k = -13k -17 + -13k = -1 + 15k + -15k Combine like terms: 15k + -15k = 0 -17 + -13k = -1 + 0 -17 + -13k = -1 Add '17' to each side of the equation. -17 + 17 + -13k = -1 + 17 Combine like terms: -17 + 17 = 0 0 + -13k = -1 + 17 -13k = -1 + 17 Combine like terms: -1 + 17 = 16 -13k = 16 Divide each side by '-13'. k = -1.230769231 Simplifying k = -1.230769231
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