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Simplifying 3n + 5 = 8(6 + 5n) Reorder the terms: 5 + 3n = 8(6 + 5n) 5 + 3n = (6 * 8 + 5n * 8) 5 + 3n = (48 + 40n) Solving 5 + 3n = 48 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 5 + 3n + -40n = 48 + 40n + -40n Combine like terms: 3n + -40n = -37n 5 + -37n = 48 + 40n + -40n Combine like terms: 40n + -40n = 0 5 + -37n = 48 + 0 5 + -37n = 48 Add '-5' to each side of the equation. 5 + -5 + -37n = 48 + -5 Combine like terms: 5 + -5 = 0 0 + -37n = 48 + -5 -37n = 48 + -5 Combine like terms: 48 + -5 = 43 -37n = 43 Divide each side by '-37'. n = -1.162162162 Simplifying n = -1.162162162
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