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Simplifying 8k + 6(k + 7) = 0 Reorder the terms: 8k + 6(7 + k) = 0 8k + (7 * 6 + k * 6) = 0 8k + (42 + 6k) = 0 Reorder the terms: 42 + 8k + 6k = 0 Combine like terms: 8k + 6k = 14k 42 + 14k = 0 Solving 42 + 14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 14k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 14k = 0 + -42 14k = 0 + -42 Combine like terms: 0 + -42 = -42 14k = -42 Divide each side by '14'. k = -3 Simplifying k = -3
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