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Simplifying 7(n + 3) = 45 + -3(12 + -1k) Reorder the terms: 7(3 + n) = 45 + -3(12 + -1k) (3 * 7 + n * 7) = 45 + -3(12 + -1k) (21 + 7n) = 45 + -3(12 + -1k) 21 + 7n = 45 + (12 * -3 + -1k * -3) 21 + 7n = 45 + (-36 + 3k) Combine like terms: 45 + -36 = 9 21 + 7n = 9 + 3k Solving 21 + 7n = 9 + 3k Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7n = 9 + -21 + 3k Combine like terms: 21 + -21 = 0 0 + 7n = 9 + -21 + 3k 7n = 9 + -21 + 3k Combine like terms: 9 + -21 = -12 7n = -12 + 3k Divide each side by '7'. n = -1.714285714 + 0.4285714286k Simplifying n = -1.714285714 + 0.4285714286k
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