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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 = 53 -37n = 53 Divide each side by '-37'. n = -1.432432432 Simplifying n = -1.432432432
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