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Simplifying 6(k + 7) + 3 = 27 Reorder the terms: 6(7 + k) + 3 = 27 (7 * 6 + k * 6) + 3 = 27 (42 + 6k) + 3 = 27 Reorder the terms: 42 + 3 + 6k = 27 Combine like terms: 42 + 3 = 45 45 + 6k = 27 Solving 45 + 6k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 6k = 27 + -45 Combine like terms: 45 + -45 = 0 0 + 6k = 27 + -45 6k = 27 + -45 Combine like terms: 27 + -45 = -18 6k = -18 Divide each side by '6'. k = -3 Simplifying k = -3
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