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Simplifying -8k + 20 = 6k + -15 + k Reorder the terms: 20 + -8k = 6k + -15 + k Reorder the terms: 20 + -8k = -15 + 6k + k Combine like terms: 6k + k = 7k 20 + -8k = -15 + 7k Solving 20 + -8k = -15 + 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. 20 + -8k + -7k = -15 + 7k + -7k Combine like terms: -8k + -7k = -15k 20 + -15k = -15 + 7k + -7k Combine like terms: 7k + -7k = 0 20 + -15k = -15 + 0 20 + -15k = -15 Add '-20' to each side of the equation. 20 + -20 + -15k = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -15k = -15 + -20 -15k = -15 + -20 Combine like terms: -15 + -20 = -35 -15k = -35 Divide each side by '-15'. k = 2.333333333 Simplifying k = 2.333333333
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