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Simplifying 342 = 6(1 + 7k) 342 = (1 * 6 + 7k * 6) 342 = (6 + 42k) Solving 342 = 6 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 342 + -42k = 6 + 42k + -42k Combine like terms: 42k + -42k = 0 342 + -42k = 6 + 0 342 + -42k = 6 Add '-342' to each side of the equation. 342 + -342 + -42k = 6 + -342 Combine like terms: 342 + -342 = 0 0 + -42k = 6 + -342 -42k = 6 + -342 Combine like terms: 6 + -342 = -336 -42k = -336 Divide each side by '-42'. k = 8 Simplifying k = 8
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