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