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Simplifying 7(8k + 6) = -17 + -3k Reorder the terms: 7(6 + 8k) = -17 + -3k (6 * 7 + 8k * 7) = -17 + -3k (42 + 56k) = -17 + -3k Solving 42 + 56k = -17 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 42 + 56k + 3k = -17 + -3k + 3k Combine like terms: 56k + 3k = 59k 42 + 59k = -17 + -3k + 3k Combine like terms: -3k + 3k = 0 42 + 59k = -17 + 0 42 + 59k = -17 Add '-42' to each side of the equation. 42 + -42 + 59k = -17 + -42 Combine like terms: 42 + -42 = 0 0 + 59k = -17 + -42 59k = -17 + -42 Combine like terms: -17 + -42 = -59 59k = -59 Divide each side by '59'. k = -1 Simplifying k = -1
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