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Simplifying 8(n + 9) + 2(n + -3) = 0 Reorder the terms: 8(9 + n) + 2(n + -3) = 0 (9 * 8 + n * 8) + 2(n + -3) = 0 (72 + 8n) + 2(n + -3) = 0 Reorder the terms: 72 + 8n + 2(-3 + n) = 0 72 + 8n + (-3 * 2 + n * 2) = 0 72 + 8n + (-6 + 2n) = 0 Reorder the terms: 72 + -6 + 8n + 2n = 0 Combine like terms: 72 + -6 = 66 66 + 8n + 2n = 0 Combine like terms: 8n + 2n = 10n 66 + 10n = 0 Solving 66 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 10n = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 10n = 0 + -66 10n = 0 + -66 Combine like terms: 0 + -66 = -66 10n = -66 Divide each side by '10'. n = -6.6 Simplifying n = -6.6
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