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Simplifying 7(k + 6) = 34 + 8k Reorder the terms: 7(6 + k) = 34 + 8k (6 * 7 + k * 7) = 34 + 8k (42 + 7k) = 34 + 8k Solving 42 + 7k = 34 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 42 + 7k + -8k = 34 + 8k + -8k Combine like terms: 7k + -8k = -1k 42 + -1k = 34 + 8k + -8k Combine like terms: 8k + -8k = 0 42 + -1k = 34 + 0 42 + -1k = 34 Add '-42' to each side of the equation. 42 + -42 + -1k = 34 + -42 Combine like terms: 42 + -42 = 0 0 + -1k = 34 + -42 -1k = 34 + -42 Combine like terms: 34 + -42 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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