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Simplifying -6k + -35 = 7(k) + 8 Reorder the terms: -35 + -6k = 7(k) + 8 Reorder the terms: -35 + -6k = 8 + 7k Solving -35 + -6k = 8 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -35 + -6k + -7k = 8 + 7k + -7k Combine like terms: -6k + -7k = -13k -35 + -13k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 -35 + -13k = 8 + 0 -35 + -13k = 8 Add '35' to each side of the equation. -35 + 35 + -13k = 8 + 35 Combine like terms: -35 + 35 = 0 0 + -13k = 8 + 35 -13k = 8 + 35 Combine like terms: 8 + 35 = 43 -13k = 43 Divide each side by '-13'. k = -3.307692308 Simplifying k = -3.307692308
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