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Simplifying 6(n + 7) + 6(n + 8) = 0 Reorder the terms: 6(7 + n) + 6(n + 8) = 0 (7 * 6 + n * 6) + 6(n + 8) = 0 (42 + 6n) + 6(n + 8) = 0 Reorder the terms: 42 + 6n + 6(8 + n) = 0 42 + 6n + (8 * 6 + n * 6) = 0 42 + 6n + (48 + 6n) = 0 Reorder the terms: 42 + 48 + 6n + 6n = 0 Combine like terms: 42 + 48 = 90 90 + 6n + 6n = 0 Combine like terms: 6n + 6n = 12n 90 + 12n = 0 Solving 90 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 12n = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 12n = 0 + -90 12n = 0 + -90 Combine like terms: 0 + -90 = -90 12n = -90 Divide each side by '12'. n = -7.5 Simplifying n = -7.5
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