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Simplifying 4(5n + -5) = 25 + 5n Reorder the terms: 4(-5 + 5n) = 25 + 5n (-5 * 4 + 5n * 4) = 25 + 5n (-20 + 20n) = 25 + 5n Solving -20 + 20n = 25 + 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 + 20n + -5n = 25 + 5n + -5n Combine like terms: 20n + -5n = 15n -20 + 15n = 25 + 5n + -5n Combine like terms: 5n + -5n = 0 -20 + 15n = 25 + 0 -20 + 15n = 25 Add '20' to each side of the equation. -20 + 20 + 15n = 25 + 20 Combine like terms: -20 + 20 = 0 0 + 15n = 25 + 20 15n = 25 + 20 Combine like terms: 25 + 20 = 45 15n = 45 Divide each side by '15'. n = 3 Simplifying n = 3
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