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Simplifying -6n + -23 = 5(5 + -6n) Reorder the terms: -23 + -6n = 5(5 + -6n) -23 + -6n = (5 * 5 + -6n * 5) -23 + -6n = (25 + -30n) Solving -23 + -6n = 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. -23 + -6n + 30n = 25 + -30n + 30n Combine like terms: -6n + 30n = 24n -23 + 24n = 25 + -30n + 30n Combine like terms: -30n + 30n = 0 -23 + 24n = 25 + 0 -23 + 24n = 25 Add '23' to each side of the equation. -23 + 23 + 24n = 25 + 23 Combine like terms: -23 + 23 = 0 0 + 24n = 25 + 23 24n = 25 + 23 Combine like terms: 25 + 23 = 48 24n = 48 Divide each side by '24'. n = 2 Simplifying n = 2
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