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Simplifying 4(n + -5) + n = 2 + 7 + 3n Reorder the terms: 4(-5 + n) + n = 2 + 7 + 3n (-5 * 4 + n * 4) + n = 2 + 7 + 3n (-20 + 4n) + n = 2 + 7 + 3n Combine like terms: 4n + n = 5n -20 + 5n = 2 + 7 + 3n Combine like terms: 2 + 7 = 9 -20 + 5n = 9 + 3n Solving -20 + 5n = 9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -20 + 5n + -3n = 9 + 3n + -3n Combine like terms: 5n + -3n = 2n -20 + 2n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -20 + 2n = 9 + 0 -20 + 2n = 9 Add '20' to each side of the equation. -20 + 20 + 2n = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 2n = 9 + 20 2n = 9 + 20 Combine like terms: 9 + 20 = 29 2n = 29 Divide each side by '2'. n = 14.5 Simplifying n = 14.5
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