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Simplifying 3(n + 1) + -2 = 4 * 2n + 3 Reorder the terms: 3(1 + n) + -2 = 4 * 2n + 3 (1 * 3 + n * 3) + -2 = 4 * 2n + 3 (3 + 3n) + -2 = 4 * 2n + 3 Reorder the terms: 3 + -2 + 3n = 4 * 2n + 3 Combine like terms: 3 + -2 = 1 1 + 3n = 4 * 2n + 3 Multiply 4 * 2 1 + 3n = 8n + 3 Reorder the terms: 1 + 3n = 3 + 8n Solving 1 + 3n = 3 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 1 + 3n + -8n = 3 + 8n + -8n Combine like terms: 3n + -8n = -5n 1 + -5n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 1 + -5n = 3 + 0 1 + -5n = 3 Add '-1' to each side of the equation. 1 + -1 + -5n = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -5n = 3 + -1 -5n = 3 + -1 Combine like terms: 3 + -1 = 2 -5n = 2 Divide each side by '-5'. n = -0.4 Simplifying n = -0.4
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