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Simplifying 5n + 7 + n = (2n + 1) + 3n + -2 Reorder the terms: 7 + 5n + n = (2n + 1) + 3n + -2 Combine like terms: 5n + n = 6n 7 + 6n = (2n + 1) + 3n + -2 Reorder the terms: 7 + 6n = (1 + 2n) + 3n + -2 Remove parenthesis around (1 + 2n) 7 + 6n = 1 + 2n + 3n + -2 Reorder the terms: 7 + 6n = 1 + -2 + 2n + 3n Combine like terms: 1 + -2 = -1 7 + 6n = -1 + 2n + 3n Combine like terms: 2n + 3n = 5n 7 + 6n = -1 + 5n Solving 7 + 6n = -1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 6n + -5n = -1 + 5n + -5n Combine like terms: 6n + -5n = 1n 7 + 1n = -1 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + 1n = -1 + 0 7 + 1n = -1 Add '-7' to each side of the equation. 7 + -7 + 1n = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = -1 + -7 1n = -1 + -7 Combine like terms: -1 + -7 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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