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Simplifying 7(n + 9) + 3(n + -3) = 0 Reorder the terms: 7(9 + n) + 3(n + -3) = 0 (9 * 7 + n * 7) + 3(n + -3) = 0 (63 + 7n) + 3(n + -3) = 0 Reorder the terms: 63 + 7n + 3(-3 + n) = 0 63 + 7n + (-3 * 3 + n * 3) = 0 63 + 7n + (-9 + 3n) = 0 Reorder the terms: 63 + -9 + 7n + 3n = 0 Combine like terms: 63 + -9 = 54 54 + 7n + 3n = 0 Combine like terms: 7n + 3n = 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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