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Simplifying (n + 7) + (n + 3) + (n + 2) + n = 40 Reorder the terms: (7 + n) + (n + 3) + (n + 2) + n = 40 Remove parenthesis around (7 + n) 7 + n + (n + 3) + (n + 2) + n = 40 Reorder the terms: 7 + n + (3 + n) + (n + 2) + n = 40 Remove parenthesis around (3 + n) 7 + n + 3 + n + (n + 2) + n = 40 Reorder the terms: 7 + n + 3 + n + (2 + n) + n = 40 Remove parenthesis around (2 + n) 7 + n + 3 + n + 2 + n + n = 40 Reorder the terms: 7 + 3 + 2 + n + n + n + n = 40 Combine like terms: 7 + 3 = 10 10 + 2 + n + n + n + n = 40 Combine like terms: 10 + 2 = 12 12 + n + n + n + n = 40 Combine like terms: n + n = 2n 12 + 2n + n + n = 40 Combine like terms: 2n + n = 3n 12 + 3n + n = 40 Combine like terms: 3n + n = 4n 12 + 4n = 40 Solving 12 + 4n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4n = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 40 + -12 4n = 40 + -12 Combine like terms: 40 + -12 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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