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