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Simplifying 23 + 3n = -2(4n + -9) Reorder the terms: 23 + 3n = -2(-9 + 4n) 23 + 3n = (-9 * -2 + 4n * -2) 23 + 3n = (18 + -8n) Solving 23 + 3n = 18 + -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 + 3n + 8n = 18 + -8n + 8n Combine like terms: 3n + 8n = 11n 23 + 11n = 18 + -8n + 8n Combine like terms: -8n + 8n = 0 23 + 11n = 18 + 0 23 + 11n = 18 Add '-23' to each side of the equation. 23 + -23 + 11n = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 11n = 18 + -23 11n = 18 + -23 Combine like terms: 18 + -23 = -5 11n = -5 Divide each side by '11'. n = -0.4545454545 Simplifying n = -0.4545454545
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