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Simplifying 6(n + 7) + 4(n + 3) = 0 Reorder the terms: 6(7 + n) + 4(n + 3) = 0 (7 * 6 + n * 6) + 4(n + 3) = 0 (42 + 6n) + 4(n + 3) = 0 Reorder the terms: 42 + 6n + 4(3 + n) = 0 42 + 6n + (3 * 4 + n * 4) = 0 42 + 6n + (12 + 4n) = 0 Reorder the terms: 42 + 12 + 6n + 4n = 0 Combine like terms: 42 + 12 = 54 54 + 6n + 4n = 0 Combine like terms: 6n + 4n = 10n 54 + 10n = 0 Solving 54 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 10n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 10n = 0 + -54 10n = 0 + -54 Combine like terms: 0 + -54 = -54 10n = -54 Divide each side by '10'. n = -5.4 Simplifying n = -5.4
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