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Simplifying (7 + k)(6) = -18 Reorder the terms for easier multiplication: 6(7 + k) = -18 (7 * 6 + k * 6) = -18 (42 + 6k) = -18 Solving 42 + 6k = -18 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 + 6k = -18 + -42 Combine like terms: 42 + -42 = 0 0 + 6k = -18 + -42 6k = -18 + -42 Combine like terms: -18 + -42 = -60 6k = -60 Divide each side by '6'. k = -10 Simplifying k = -10
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