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Simplifying 4(n + 2) + 9 = 5 + -3n Reorder the terms: 4(2 + n) + 9 = 5 + -3n (2 * 4 + n * 4) + 9 = 5 + -3n (8 + 4n) + 9 = 5 + -3n Reorder the terms: 8 + 9 + 4n = 5 + -3n Combine like terms: 8 + 9 = 17 17 + 4n = 5 + -3n Solving 17 + 4n = 5 + -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. 17 + 4n + 3n = 5 + -3n + 3n Combine like terms: 4n + 3n = 7n 17 + 7n = 5 + -3n + 3n Combine like terms: -3n + 3n = 0 17 + 7n = 5 + 0 17 + 7n = 5 Add '-17' to each side of the equation. 17 + -17 + 7n = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 7n = 5 + -17 7n = 5 + -17 Combine like terms: 5 + -17 = -12 7n = -12 Divide each side by '7'. n = -1.714285714 Simplifying n = -1.714285714
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