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Simplifying 5n + 3 = 2(1 + 4n) + -46 Reorder the terms: 3 + 5n = 2(1 + 4n) + -46 3 + 5n = (1 * 2 + 4n * 2) + -46 3 + 5n = (2 + 8n) + -46 Reorder the terms: 3 + 5n = 2 + -46 + 8n Combine like terms: 2 + -46 = -44 3 + 5n = -44 + 8n Solving 3 + 5n = -44 + 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. 3 + 5n + -8n = -44 + 8n + -8n Combine like terms: 5n + -8n = -3n 3 + -3n = -44 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + -3n = -44 + 0 3 + -3n = -44 Add '-3' to each side of the equation. 3 + -3 + -3n = -44 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -44 + -3 -3n = -44 + -3 Combine like terms: -44 + -3 = -47 -3n = -47 Divide each side by '-3'. n = 15.66666667 Simplifying n = 15.66666667
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