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Simplifying (n + 1) + (n + 2) + (n + 3) = 150 Reorder the terms: (1 + n) + (n + 2) + (n + 3) = 150 Remove parenthesis around (1 + n) 1 + n + (n + 2) + (n + 3) = 150 Reorder the terms: 1 + n + (2 + n) + (n + 3) = 150 Remove parenthesis around (2 + n) 1 + n + 2 + n + (n + 3) = 150 Reorder the terms: 1 + n + 2 + n + (3 + n) = 150 Remove parenthesis around (3 + n) 1 + n + 2 + n + 3 + n = 150 Reorder the terms: 1 + 2 + 3 + n + n + n = 150 Combine like terms: 1 + 2 = 3 3 + 3 + n + n + n = 150 Combine like terms: 3 + 3 = 6 6 + n + n + n = 150 Combine like terms: n + n = 2n 6 + 2n + n = 150 Combine like terms: 2n + n = 3n 6 + 3n = 150 Solving 6 + 3n = 150 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3n = 150 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 150 + -6 3n = 150 + -6 Combine like terms: 150 + -6 = 144 3n = 144 Divide each side by '3'. n = 48 Simplifying n = 48
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