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Simplifying 7(6 + 5k) = -39 + 8k (6 * 7 + 5k * 7) = -39 + 8k (42 + 35k) = -39 + 8k Solving 42 + 35k = -39 + 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 + 35k + -8k = -39 + 8k + -8k Combine like terms: 35k + -8k = 27k 42 + 27k = -39 + 8k + -8k Combine like terms: 8k + -8k = 0 42 + 27k = -39 + 0 42 + 27k = -39 Add '-42' to each side of the equation. 42 + -42 + 27k = -39 + -42 Combine like terms: 42 + -42 = 0 0 + 27k = -39 + -42 27k = -39 + -42 Combine like terms: -39 + -42 = -81 27k = -81 Divide each side by '27'. k = -3 Simplifying k = -3
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