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