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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 = -43n -5 + -43n = 48 + 40n + -40n Combine like terms: 40n + -40n = 0 -5 + -43n = 48 + 0 -5 + -43n = 48 Add '5' to each side of the equation. -5 + 5 + -43n = 48 + 5 Combine like terms: -5 + 5 = 0 0 + -43n = 48 + 5 -43n = 48 + 5 Combine like terms: 48 + 5 = 53 -43n = 53 Divide each side by '-43'. n = -1.23255814 Simplifying n = -1.23255814
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