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Simplifying 4(n + 3) = 3(5 + n) Reorder the terms: 4(3 + n) = 3(5 + n) (3 * 4 + n * 4) = 3(5 + n) (12 + 4n) = 3(5 + n) 12 + 4n = (5 * 3 + n * 3) 12 + 4n = (15 + 3n) Solving 12 + 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. 12 + 4n + -3n = 15 + 3n + -3n Combine like terms: 4n + -3n = 1n 12 + 1n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 12 + 1n = 15 + 0 12 + 1n = 15 Add '-12' to each side of the equation. 12 + -12 + 1n = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 15 + -12 1n = 15 + -12 Combine like terms: 15 + -12 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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