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Simplifying 338 = -5 + 7(1 + -6k) 338 = -5 + (1 * 7 + -6k * 7) 338 = -5 + (7 + -42k) Combine like terms: -5 + 7 = 2 338 = 2 + -42k Solving 338 = 2 + -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. 338 + 42k = 2 + -42k + 42k Combine like terms: -42k + 42k = 0 338 + 42k = 2 + 0 338 + 42k = 2 Add '-338' to each side of the equation. 338 + -338 + 42k = 2 + -338 Combine like terms: 338 + -338 = 0 0 + 42k = 2 + -338 42k = 2 + -338 Combine like terms: 2 + -338 = -336 42k = -336 Divide each side by '42'. k = -8 Simplifying k = -8
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