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Simplifying 208 + -3n = (n + 1) + (n + 2) + (n + 3) + -50 Reorder the terms: 208 + -3n = (1 + n) + (n + 2) + (n + 3) + -50 Remove parenthesis around (1 + n) 208 + -3n = 1 + n + (n + 2) + (n + 3) + -50 Reorder the terms: 208 + -3n = 1 + n + (2 + n) + (n + 3) + -50 Remove parenthesis around (2 + n) 208 + -3n = 1 + n + 2 + n + (n + 3) + -50 Reorder the terms: 208 + -3n = 1 + n + 2 + n + (3 + n) + -50 Remove parenthesis around (3 + n) 208 + -3n = 1 + n + 2 + n + 3 + n + -50 Reorder the terms: 208 + -3n = 1 + 2 + 3 + -50 + n + n + n Combine like terms: 1 + 2 = 3 208 + -3n = 3 + 3 + -50 + n + n + n Combine like terms: 3 + 3 = 6 208 + -3n = 6 + -50 + n + n + n Combine like terms: 6 + -50 = -44 208 + -3n = -44 + n + n + n Combine like terms: n + n = 2n 208 + -3n = -44 + 2n + n Combine like terms: 2n + n = 3n 208 + -3n = -44 + 3n Solving 208 + -3n = -44 + 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. 208 + -3n + -3n = -44 + 3n + -3n Combine like terms: -3n + -3n = -6n 208 + -6n = -44 + 3n + -3n Combine like terms: 3n + -3n = 0 208 + -6n = -44 + 0 208 + -6n = -44 Add '-208' to each side of the equation. 208 + -208 + -6n = -44 + -208 Combine like terms: 208 + -208 = 0 0 + -6n = -44 + -208 -6n = -44 + -208 Combine like terms: -44 + -208 = -252 -6n = -252 Divide each side by '-6'. n = 42 Simplifying n = 42
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