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Simplifying 8(n + 6) + 2(n + -3) = 72 Reorder the terms: 8(6 + n) + 2(n + -3) = 72 (6 * 8 + n * 8) + 2(n + -3) = 72 (48 + 8n) + 2(n + -3) = 72 Reorder the terms: 48 + 8n + 2(-3 + n) = 72 48 + 8n + (-3 * 2 + n * 2) = 72 48 + 8n + (-6 + 2n) = 72 Reorder the terms: 48 + -6 + 8n + 2n = 72 Combine like terms: 48 + -6 = 42 42 + 8n + 2n = 72 Combine like terms: 8n + 2n = 10n 42 + 10n = 72 Solving 42 + 10n = 72 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 10n = 72 + -42 Combine like terms: 42 + -42 = 0 0 + 10n = 72 + -42 10n = 72 + -42 Combine like terms: 72 + -42 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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