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Simplifying 4(n + 2) = 3(n + 5) Reorder the terms: 4(2 + n) = 3(n + 5) (2 * 4 + n * 4) = 3(n + 5) (8 + 4n) = 3(n + 5) Reorder the terms: 8 + 4n = 3(5 + n) 8 + 4n = (5 * 3 + n * 3) 8 + 4n = (15 + 3n) Solving 8 + 4n = 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. 8 + 4n + -3n = 15 + 3n + -3n Combine like terms: 4n + -3n = 1n 8 + 1n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + 1n = 15 + 0 8 + 1n = 15 Add '-8' to each side of the equation. 8 + -8 + 1n = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 15 + -8 1n = 15 + -8 Combine like terms: 15 + -8 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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