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Simplifying 4(5 + -2n) + -3n = 4n + -85 (5 * 4 + -2n * 4) + -3n = 4n + -85 (20 + -8n) + -3n = 4n + -85 Combine like terms: -8n + -3n = -11n 20 + -11n = 4n + -85 Reorder the terms: 20 + -11n = -85 + 4n Solving 20 + -11n = -85 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 20 + -11n + -4n = -85 + 4n + -4n Combine like terms: -11n + -4n = -15n 20 + -15n = -85 + 4n + -4n Combine like terms: 4n + -4n = 0 20 + -15n = -85 + 0 20 + -15n = -85 Add '-20' to each side of the equation. 20 + -20 + -15n = -85 + -20 Combine like terms: 20 + -20 = 0 0 + -15n = -85 + -20 -15n = -85 + -20 Combine like terms: -85 + -20 = -105 -15n = -105 Divide each side by '-15'. n = 7 Simplifying n = 7
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