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Simplifying 7(n + 2) + 9(n + 2) = 0 Reorder the terms: 7(2 + n) + 9(n + 2) = 0 (2 * 7 + n * 7) + 9(n + 2) = 0 (14 + 7n) + 9(n + 2) = 0 Reorder the terms: 14 + 7n + 9(2 + n) = 0 14 + 7n + (2 * 9 + n * 9) = 0 14 + 7n + (18 + 9n) = 0 Reorder the terms: 14 + 18 + 7n + 9n = 0 Combine like terms: 14 + 18 = 32 32 + 7n + 9n = 0 Combine like terms: 7n + 9n = 16n 32 + 16n = 0 Solving 32 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 16n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 16n = 0 + -32 16n = 0 + -32 Combine like terms: 0 + -32 = -32 16n = -32 Divide each side by '16'. n = -2 Simplifying n = -2
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