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Simplifying 7k + -8 + 6k = (k + 4) Reorder the terms: -8 + 7k + 6k = (k + 4) Combine like terms: 7k + 6k = 13k -8 + 13k = (k + 4) Reorder the terms: -8 + 13k = (4 + k) Remove parenthesis around (4 + k) -8 + 13k = 4 + k Solving -8 + 13k = 4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -8 + 13k + -1k = 4 + k + -1k Combine like terms: 13k + -1k = 12k -8 + 12k = 4 + k + -1k Combine like terms: k + -1k = 0 -8 + 12k = 4 + 0 -8 + 12k = 4 Add '8' to each side of the equation. -8 + 8 + 12k = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 12k = 4 + 8 12k = 4 + 8 Combine like terms: 4 + 8 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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