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Simplifying (n + 4) + (n + -2) + -1n = 51 Reorder the terms: (4 + n) + (n + -2) + -1n = 51 Remove parenthesis around (4 + n) 4 + n + (n + -2) + -1n = 51 Reorder the terms: 4 + n + (-2 + n) + -1n = 51 Remove parenthesis around (-2 + n) 4 + n + -2 + n + -1n = 51 Reorder the terms: 4 + -2 + n + n + -1n = 51 Combine like terms: 4 + -2 = 2 2 + n + n + -1n = 51 Combine like terms: n + n = 2n 2 + 2n + -1n = 51 Combine like terms: 2n + -1n = 1n 2 + 1n = 51 Solving 2 + 1n = 51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1n = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 1n = 51 + -2 1n = 51 + -2 Combine like terms: 51 + -2 = 49 1n = 49 Divide each side by '1'. n = 49 Simplifying n = 49
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