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Simplifying 4(n + 1) = 3(4 + n) Reorder the terms: 4(1 + n) = 3(4 + n) (1 * 4 + n * 4) = 3(4 + n) (4 + 4n) = 3(4 + n) 4 + 4n = (4 * 3 + n * 3) 4 + 4n = (12 + 3n) Solving 4 + 4n = 12 + 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 + 4n + -3n = 12 + 3n + -3n Combine like terms: 4n + -3n = 1n 4 + 1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 1n = 12 + 0 4 + 1n = 12 Add '-4' to each side of the equation. 4 + -4 + 1n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 12 + -4 1n = 12 + -4 Combine like terms: 12 + -4 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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