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Simplifying 3n + 5 = 8(6 + 40n) Reorder the terms: 5 + 3n = 8(6 + 40n) 5 + 3n = (6 * 8 + 40n * 8) 5 + 3n = (48 + 320n) Solving 5 + 3n = 48 + 320n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-320n' to each side of the equation. 5 + 3n + -320n = 48 + 320n + -320n Combine like terms: 3n + -320n = -317n 5 + -317n = 48 + 320n + -320n Combine like terms: 320n + -320n = 0 5 + -317n = 48 + 0 5 + -317n = 48 Add '-5' to each side of the equation. 5 + -5 + -317n = 48 + -5 Combine like terms: 5 + -5 = 0 0 + -317n = 48 + -5 -317n = 48 + -5 Combine like terms: 48 + -5 = 43 -317n = 43 Divide each side by '-317'. n = -0.1356466877 Simplifying n = -0.1356466877
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