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Simplifying 108 = -7(-1k + -8) + 6k Reorder the terms: 108 = -7(-8 + -1k) + 6k 108 = (-8 * -7 + -1k * -7) + 6k 108 = (56 + 7k) + 6k Combine like terms: 7k + 6k = 13k 108 = 56 + 13k Solving 108 = 56 + 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. 108 + -13k = 56 + 13k + -13k Combine like terms: 13k + -13k = 0 108 + -13k = 56 + 0 108 + -13k = 56 Add '-108' to each side of the equation. 108 + -108 + -13k = 56 + -108 Combine like terms: 108 + -108 = 0 0 + -13k = 56 + -108 -13k = 56 + -108 Combine like terms: 56 + -108 = -52 -13k = -52 Divide each side by '-13'. k = 4 Simplifying k = 4
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