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Simplifying -4(2n + -5) = 3n + 10 Reorder the terms: -4(-5 + 2n) = 3n + 10 (-5 * -4 + 2n * -4) = 3n + 10 (20 + -8n) = 3n + 10 Reorder the terms: 20 + -8n = 10 + 3n Solving 20 + -8n = 10 + 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 = 10 + 3n + -3n Combine like terms: -8n + -3n = -11n 20 + -11n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + -11n = 10 + 0 20 + -11n = 10 Add '-20' to each side of the equation. 20 + -20 + -11n = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -11n = 10 + -20 -11n = 10 + -20 Combine like terms: 10 + -20 = -10 -11n = -10 Divide each side by '-11'. n = 0.9090909091 Simplifying n = 0.9090909091
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