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Simplifying -5n + -2(-7n + -5) = 20 + 4n Reorder the terms: -5n + -2(-5 + -7n) = 20 + 4n -5n + (-5 * -2 + -7n * -2) = 20 + 4n -5n + (10 + 14n) = 20 + 4n Reorder the terms: 10 + -5n + 14n = 20 + 4n Combine like terms: -5n + 14n = 9n 10 + 9n = 20 + 4n Solving 10 + 9n = 20 + 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. 10 + 9n + -4n = 20 + 4n + -4n Combine like terms: 9n + -4n = 5n 10 + 5n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + 5n = 20 + 0 10 + 5n = 20 Add '-10' to each side of the equation. 10 + -10 + 5n = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 5n = 20 + -10 5n = 20 + -10 Combine like terms: 20 + -10 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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