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Simplifying 5(n + 2) = n(8 + -11) Reorder the terms: 5(2 + n) = n(8 + -11) (2 * 5 + n * 5) = n(8 + -11) (10 + 5n) = n(8 + -11) Combine like terms: 8 + -11 = -3 10 + 5n = n(-3) Reorder the terms for easier multiplication: 10 + 5n = -3n Solving 10 + 5n = -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 + 5n + 3n = -3n + 3n Combine like terms: 5n + 3n = 8n 10 + 8n = -3n + 3n Combine like terms: -3n + 3n = 0 10 + 8n = 0 Add '-10' to each side of the equation. 10 + -10 + 8n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8n = 0 + -10 8n = 0 + -10 Combine like terms: 0 + -10 = -10 8n = -10 Divide each side by '8'. n = -1.25 Simplifying n = -1.25
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