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Simplifying -5n + 4(5 + -3n) = -40 + -5n -5n + (5 * 4 + -3n * 4) = -40 + -5n -5n + (20 + -12n) = -40 + -5n Reorder the terms: 20 + -5n + -12n = -40 + -5n Combine like terms: -5n + -12n = -17n 20 + -17n = -40 + -5n Solving 20 + -17n = -40 + -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. 20 + -17n + 5n = -40 + -5n + 5n Combine like terms: -17n + 5n = -12n 20 + -12n = -40 + -5n + 5n Combine like terms: -5n + 5n = 0 20 + -12n = -40 + 0 20 + -12n = -40 Add '-20' to each side of the equation. 20 + -20 + -12n = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -12n = -40 + -20 -12n = -40 + -20 Combine like terms: -40 + -20 = -60 -12n = -60 Divide each side by '-12'. n = 5 Simplifying n = 5
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