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Simplifying 3(n + 1) + -2 = -1(2x + 1) + 1 Reorder the terms: 3(1 + n) + -2 = -1(2x + 1) + 1 (1 * 3 + n * 3) + -2 = -1(2x + 1) + 1 (3 + 3n) + -2 = -1(2x + 1) + 1 Reorder the terms: 3 + -2 + 3n = -1(2x + 1) + 1 Combine like terms: 3 + -2 = 1 1 + 3n = -1(2x + 1) + 1 Reorder the terms: 1 + 3n = -1(1 + 2x) + 1 1 + 3n = (1 * -1 + 2x * -1) + 1 1 + 3n = (-1 + -2x) + 1 Reorder the terms: 1 + 3n = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 1 + 3n = 0 + -2x 1 + 3n = -2x Solving 1 + 3n = -2x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3n = -1 + -2x Combine like terms: 1 + -1 = 0 0 + 3n = -1 + -2x 3n = -1 + -2x Divide each side by '3'. n = -0.3333333333 + -0.6666666667x Simplifying n = -0.3333333333 + -0.6666666667x
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