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Simplifying 8 + 8k = 7k + 6k + -7 Reorder the terms: 8 + 8k = -7 + 7k + 6k Combine like terms: 7k + 6k = 13k 8 + 8k = -7 + 13k Solving 8 + 8k = -7 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 8 + 8k + -13k = -7 + 13k + -13k Combine like terms: 8k + -13k = -5k 8 + -5k = -7 + 13k + -13k Combine like terms: 13k + -13k = 0 8 + -5k = -7 + 0 8 + -5k = -7 Add '-8' to each side of the equation. 8 + -8 + -5k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = -7 + -8 -5k = -7 + -8 Combine like terms: -7 + -8 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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