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Simplifying (4 + -3n) + (7 + -3n) + (12 + -3n) + (19 + 3n) = 0 Remove parenthesis around (4 + -3n) 4 + -3n + (7 + -3n) + (12 + -3n) + (19 + 3n) = 0 Remove parenthesis around (7 + -3n) 4 + -3n + 7 + -3n + (12 + -3n) + (19 + 3n) = 0 Remove parenthesis around (12 + -3n) 4 + -3n + 7 + -3n + 12 + -3n + (19 + 3n) = 0 Remove parenthesis around (19 + 3n) 4 + -3n + 7 + -3n + 12 + -3n + 19 + 3n = 0 Reorder the terms: 4 + 7 + 12 + 19 + -3n + -3n + -3n + 3n = 0 Combine like terms: 4 + 7 = 11 11 + 12 + 19 + -3n + -3n + -3n + 3n = 0 Combine like terms: 11 + 12 = 23 23 + 19 + -3n + -3n + -3n + 3n = 0 Combine like terms: 23 + 19 = 42 42 + -3n + -3n + -3n + 3n = 0 Combine like terms: -3n + -3n = -6n 42 + -6n + -3n + 3n = 0 Combine like terms: -6n + -3n = -9n 42 + -9n + 3n = 0 Combine like terms: -9n + 3n = -6n 42 + -6n = 0 Solving 42 + -6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -6n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6n = 0 + -42 -6n = 0 + -42 Combine like terms: 0 + -42 = -42 -6n = -42 Divide each side by '-6'. n = 7 Simplifying n = 7
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