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Simplifying 10(n + 1) = -5n + 8(n + 3) Reorder the terms: 10(1 + n) = -5n + 8(n + 3) (1 * 10 + n * 10) = -5n + 8(n + 3) (10 + 10n) = -5n + 8(n + 3) Reorder the terms: 10 + 10n = -5n + 8(3 + n) 10 + 10n = -5n + (3 * 8 + n * 8) 10 + 10n = -5n + (24 + 8n) Reorder the terms: 10 + 10n = 24 + -5n + 8n Combine like terms: -5n + 8n = 3n 10 + 10n = 24 + 3n Solving 10 + 10n = 24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 10n + -3n = 24 + 3n + -3n Combine like terms: 10n + -3n = 7n 10 + 7n = 24 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 7n = 24 + 0 10 + 7n = 24 Add '-10' to each side of the equation. 10 + -10 + 7n = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 7n = 24 + -10 7n = 24 + -10 Combine like terms: 24 + -10 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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