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Simplifying 2(n + 2) = 3(5 + -1n) Reorder the terms: 2(2 + n) = 3(5 + -1n) (2 * 2 + n * 2) = 3(5 + -1n) (4 + 2n) = 3(5 + -1n) 4 + 2n = (5 * 3 + -1n * 3) 4 + 2n = (15 + -3n) Solving 4 + 2n = 15 + -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. 4 + 2n + 3n = 15 + -3n + 3n Combine like terms: 2n + 3n = 5n 4 + 5n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 4 + 5n = 15 + 0 4 + 5n = 15 Add '-4' to each side of the equation. 4 + -4 + 5n = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 15 + -4 5n = 15 + -4 Combine like terms: 15 + -4 = 11 5n = 11 Divide each side by '5'. n = 2.2 Simplifying n = 2.2
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