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Simplifying 4(2n + 5) = -3(n + -6) Reorder the terms: 4(5 + 2n) = -3(n + -6) (5 * 4 + 2n * 4) = -3(n + -6) (20 + 8n) = -3(n + -6) Reorder the terms: 20 + 8n = -3(-6 + n) 20 + 8n = (-6 * -3 + n * -3) 20 + 8n = (18 + -3n) Solving 20 + 8n = 18 + -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. 20 + 8n + 3n = 18 + -3n + 3n Combine like terms: 8n + 3n = 11n 20 + 11n = 18 + -3n + 3n Combine like terms: -3n + 3n = 0 20 + 11n = 18 + 0 20 + 11n = 18 Add '-20' to each side of the equation. 20 + -20 + 11n = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 11n = 18 + -20 11n = 18 + -20 Combine like terms: 18 + -20 = -2 11n = -2 Divide each side by '11'. n = -0.1818181818 Simplifying n = -0.1818181818
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