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Simplifying 2n + 1 + -3n = 7 + 2n + 3n Reorder the terms: 1 + 2n + -3n = 7 + 2n + 3n Combine like terms: 2n + -3n = -1n 1 + -1n = 7 + 2n + 3n Combine like terms: 2n + 3n = 5n 1 + -1n = 7 + 5n Solving 1 + -1n = 7 + 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. 1 + -1n + -5n = 7 + 5n + -5n Combine like terms: -1n + -5n = -6n 1 + -6n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -6n = 7 + 0 1 + -6n = 7 Add '-1' to each side of the equation. 1 + -1 + -6n = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6n = 7 + -1 -6n = 7 + -1 Combine like terms: 7 + -1 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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