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Simplifying 1 + 4n = 5(6n + -5) Reorder the terms: 1 + 4n = 5(-5 + 6n) 1 + 4n = (-5 * 5 + 6n * 5) 1 + 4n = (-25 + 30n) Solving 1 + 4n = -25 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 1 + 4n + -30n = -25 + 30n + -30n Combine like terms: 4n + -30n = -26n 1 + -26n = -25 + 30n + -30n Combine like terms: 30n + -30n = 0 1 + -26n = -25 + 0 1 + -26n = -25 Add '-1' to each side of the equation. 1 + -1 + -26n = -25 + -1 Combine like terms: 1 + -1 = 0 0 + -26n = -25 + -1 -26n = -25 + -1 Combine like terms: -25 + -1 = -26 -26n = -26 Divide each side by '-26'. n = 1 Simplifying n = 1
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