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Simplifying 7(n + 6) + 3(n + -1) = 0 Reorder the terms: 7(6 + n) + 3(n + -1) = 0 (6 * 7 + n * 7) + 3(n + -1) = 0 (42 + 7n) + 3(n + -1) = 0 Reorder the terms: 42 + 7n + 3(-1 + n) = 0 42 + 7n + (-1 * 3 + n * 3) = 0 42 + 7n + (-3 + 3n) = 0 Reorder the terms: 42 + -3 + 7n + 3n = 0 Combine like terms: 42 + -3 = 39 39 + 7n + 3n = 0 Combine like terms: 7n + 3n = 10n 39 + 10n = 0 Solving 39 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 10n = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 10n = 0 + -39 10n = 0 + -39 Combine like terms: 0 + -39 = -39 10n = -39 Divide each side by '10'. n = -3.9 Simplifying n = -3.9
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