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Simplifying 3n + 20 = 180 + -1(4n + -20) Reorder the terms: 20 + 3n = 180 + -1(4n + -20) Reorder the terms: 20 + 3n = 180 + -1(-20 + 4n) 20 + 3n = 180 + (-20 * -1 + 4n * -1) 20 + 3n = 180 + (20 + -4n) Combine like terms: 180 + 20 = 200 20 + 3n = 200 + -4n Solving 20 + 3n = 200 + -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 + 3n + 4n = 200 + -4n + 4n Combine like terms: 3n + 4n = 7n 20 + 7n = 200 + -4n + 4n Combine like terms: -4n + 4n = 0 20 + 7n = 200 + 0 20 + 7n = 200 Add '-20' to each side of the equation. 20 + -20 + 7n = 200 + -20 Combine like terms: 20 + -20 = 0 0 + 7n = 200 + -20 7n = 200 + -20 Combine like terms: 200 + -20 = 180 7n = 180 Divide each side by '7'. n = 25.71428571 Simplifying n = 25.71428571
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