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Simplifying 4n + 5 = 3 + 3(n + 3) Reorder the terms: 5 + 4n = 3 + 3(n + 3) Reorder the terms: 5 + 4n = 3 + 3(3 + n) 5 + 4n = 3 + (3 * 3 + n * 3) 5 + 4n = 3 + (9 + 3n) Combine like terms: 3 + 9 = 12 5 + 4n = 12 + 3n Solving 5 + 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. 5 + 4n + -3n = 12 + 3n + -3n Combine like terms: 4n + -3n = 1n 5 + 1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 1n = 12 + 0 5 + 1n = 12 Add '-5' to each side of the equation. 5 + -5 + 1n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 12 + -5 1n = 12 + -5 Combine like terms: 12 + -5 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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