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Simplifying 2n + 3(n + 1) = 4n + 7 Reorder the terms: 2n + 3(1 + n) = 4n + 7 2n + (1 * 3 + n * 3) = 4n + 7 2n + (3 + 3n) = 4n + 7 Reorder the terms: 3 + 2n + 3n = 4n + 7 Combine like terms: 2n + 3n = 5n 3 + 5n = 4n + 7 Reorder the terms: 3 + 5n = 7 + 4n Solving 3 + 5n = 7 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 5n + -4n = 7 + 4n + -4n Combine like terms: 5n + -4n = 1n 3 + 1n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 1n = 7 + 0 3 + 1n = 7 Add '-3' to each side of the equation. 3 + -3 + 1n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1n = 7 + -3 1n = 7 + -3 Combine like terms: 7 + -3 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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