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Simplifying 10(n + 4) = 2(n + 40) Reorder the terms: 10(4 + n) = 2(n + 40) (4 * 10 + n * 10) = 2(n + 40) (40 + 10n) = 2(n + 40) Reorder the terms: 40 + 10n = 2(40 + n) 40 + 10n = (40 * 2 + n * 2) 40 + 10n = (80 + 2n) Solving 40 + 10n = 80 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 40 + 10n + -2n = 80 + 2n + -2n Combine like terms: 10n + -2n = 8n 40 + 8n = 80 + 2n + -2n Combine like terms: 2n + -2n = 0 40 + 8n = 80 + 0 40 + 8n = 80 Add '-40' to each side of the equation. 40 + -40 + 8n = 80 + -40 Combine like terms: 40 + -40 = 0 0 + 8n = 80 + -40 8n = 80 + -40 Combine like terms: 80 + -40 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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