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Simplifying 5(n + 5) + 3(n + -8) = -23 Reorder the terms: 5(5 + n) + 3(n + -8) = -23 (5 * 5 + n * 5) + 3(n + -8) = -23 (25 + 5n) + 3(n + -8) = -23 Reorder the terms: 25 + 5n + 3(-8 + n) = -23 25 + 5n + (-8 * 3 + n * 3) = -23 25 + 5n + (-24 + 3n) = -23 Reorder the terms: 25 + -24 + 5n + 3n = -23 Combine like terms: 25 + -24 = 1 1 + 5n + 3n = -23 Combine like terms: 5n + 3n = 8n 1 + 8n = -23 Solving 1 + 8n = -23 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8n = -23 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = -23 + -1 8n = -23 + -1 Combine like terms: -23 + -1 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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