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Simplifying 3n + 5 = 2n + 1 Reorder the terms: 5 + 3n = 2n + 1 Reorder the terms: 5 + 3n = 1 + 2n Solving 5 + 3n = 1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + 3n + -2n = 1 + 2n + -2n Combine like terms: 3n + -2n = 1n 5 + 1n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 1n = 1 + 0 5 + 1n = 1 Add '-5' to each side of the equation. 5 + -5 + 1n = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 1 + -5 1n = 1 + -5 Combine like terms: 1 + -5 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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