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Simplifying 4(n + 5) = 3(n + 1) Reorder the terms: 4(5 + n) = 3(n + 1) (5 * 4 + n * 4) = 3(n + 1) (20 + 4n) = 3(n + 1) Reorder the terms: 20 + 4n = 3(1 + n) 20 + 4n = (1 * 3 + n * 3) 20 + 4n = (3 + 3n) Solving 20 + 4n = 3 + 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. 20 + 4n + -3n = 3 + 3n + -3n Combine like terms: 4n + -3n = 1n 20 + 1n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 1n = 3 + 0 20 + 1n = 3 Add '-20' to each side of the equation. 20 + -20 + 1n = 3 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = 3 + -20 1n = 3 + -20 Combine like terms: 3 + -20 = -17 1n = -17 Divide each side by '1'. n = -17 Simplifying n = -17
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