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Simplifying 23 + 3n = -1(5n + -7) Reorder the terms: 23 + 3n = -1(-7 + 5n) 23 + 3n = (-7 * -1 + 5n * -1) 23 + 3n = (7 + -5n) Solving 23 + 3n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 23 + 3n + 5n = 7 + -5n + 5n Combine like terms: 3n + 5n = 8n 23 + 8n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 23 + 8n = 7 + 0 23 + 8n = 7 Add '-23' to each side of the equation. 23 + -23 + 8n = 7 + -23 Combine like terms: 23 + -23 = 0 0 + 8n = 7 + -23 8n = 7 + -23 Combine like terms: 7 + -23 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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